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Solve the equation
Answer
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Graph
$y = x + 4 \left ( x + 1 \right )$
$y = - 3 - 2 x$
$x$Intercept
$\left ( - \dfrac { 4 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 4 \right )$
$x$Intercept
$\left ( - \dfrac { 3 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 3 \right )$
$x = - 1$
$ $ Solve a solution to $ x$
$x + \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) = - 3 - 2 x$
$ $ Multiply each term in parentheses by $ 4$
$x + \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ 4 } = - 3 - 2 x$
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + 4 = - 3 - 2 x$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } + 4 = - 3 - 2 x$
$5 x + 4 = \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x }$
$ $ Organize the expression $ $
$5 x + 4 = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$5 x + 4 = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 3$
$ $ Move the variable to the left-hand side and change the symbol $ $
$5 x + 4 \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 3$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 4 } + 2 x = - 3$
$ $ Move the constant to the right side and change the sign $ $
$5 x + 2 x = - 3 \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 3 - 4$
$ $ Organize the expression $ $
$\color{#FF6800}{ 7 } \color{#FF6800}{ x } = - 3 - 4$
$7 x = \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$ $ Find the sum of the negative numbers $ $
$7 x = \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 7 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
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