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Simplifying 9x + -5(x + -7) = 5(x + 8) Reorder the terms: 9x + -5(-7 + x) = 5(x + 8) 9x + (-7 * -5 + x * -5) = 5(x + 8) 9x + (35 + -5x) = 5(x + 8) Reorder the terms: 35 + 9x + -5x = 5(x + 8) Combine like terms: 9x + -5x = 4x 35 + 4x = 5(x + 8) Reorder the terms: 35 + 4x = 5(8 + x) 35 + 4x = (8 * 5 + x * 5) 35 + 4x = (40 + 5x) Solving 35 + 4x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + 4x + -5x = 40 + 5x + -5x Combine like terms: 4x + -5x = -1x 35 + -1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -1x = 40 + 0 35 + -1x = 40 Add '-35' to each side of the equation. 35 + -35 + -1x = 40 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 40 + -35 -1x = 40 + -35 Combine like terms: 40 + -35 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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