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Simplifying 5(x + 7) = 4(x + -8) Reorder the terms: 5(7 + x) = 4(x + -8) (7 * 5 + x * 5) = 4(x + -8) (35 + 5x) = 4(x + -8) Reorder the terms: 35 + 5x = 4(-8 + x) 35 + 5x = (-8 * 4 + x * 4) 35 + 5x = (-32 + 4x) Solving 35 + 5x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + 5x + -4x = -32 + 4x + -4x Combine like terms: 5x + -4x = 1x 35 + 1x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 1x = -32 + 0 35 + 1x = -32 Add '-35' to each side of the equation. 35 + -35 + 1x = -32 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -32 + -35 1x = -32 + -35 Combine like terms: -32 + -35 = -67 1x = -67 Divide each side by '1'. x = -67 Simplifying x = -67
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