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Simplifying -9[x + -8] = -1[x + -40] Reorder the terms: -9[-8 + x] = -1[x + -40] [-8 * -9 + x * -9] = -1[x + -40] [72 + -9x] = -1[x + -40] Reorder the terms: 72 + -9x = -1[-40 + x] 72 + -9x = [-40 * -1 + x * -1] 72 + -9x = [40 + -1x] Solving 72 + -9x = 40 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 72 + -9x + x = 40 + -1x + x Combine like terms: -9x + x = -8x 72 + -8x = 40 + -1x + x Combine like terms: -1x + x = 0 72 + -8x = 40 + 0 72 + -8x = 40 Add '-72' to each side of the equation. 72 + -72 + -8x = 40 + -72 Combine like terms: 72 + -72 = 0 0 + -8x = 40 + -72 -8x = 40 + -72 Combine like terms: 40 + -72 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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