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Simplifying -9(x + -5) = 9 + -8x Reorder the terms: -9(-5 + x) = 9 + -8x (-5 * -9 + x * -9) = 9 + -8x (45 + -9x) = 9 + -8x Solving 45 + -9x = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 45 + -9x + 8x = 9 + -8x + 8x Combine like terms: -9x + 8x = -1x 45 + -1x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 45 + -1x = 9 + 0 45 + -1x = 9 Add '-45' to each side of the equation. 45 + -45 + -1x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 9 + -45 -1x = 9 + -45 Combine like terms: 9 + -45 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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