For the equation 2(x−5)=9−3x+6+8+3x+7

Question

, the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
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Simplify the left side of the equation: Response area

Simplify the right side of the equation: Response area

Answer 1

To simplify the equation \( 2(x−5)=9−3x+6+8+3x+7 \):

Left Side:

1. Use the Distributive Property on \( 2(x - 5) \): \[ 2(x - 5) = 2x - 10 \]

Response area for the left side: \( 2x - 10 \)

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Right Side:

1. Combine like terms on the right side: \[ 9 - 3x + 6 + 8 + 3x + 7 \] Combine the constant terms: \[ 9 + 6 + 8 + 7 = 30 \] Combine the \( -3x \) and \( 3x \): \[ -3x + 3x = 0 \] Therefore, the right side simplifies to: \[ 30 \]

Response area for the right side: \( 30 \)

Thus, the simplified equation becomes: \[ 2x - 10 = 30 \]