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Simplifying 9(x + 8) = 5[x + -1(9 + -1x)] Reorder the terms: 9(8 + x) = 5[x + -1(9 + -1x)] (8 * 9 + x * 9) = 5[x + -1(9 + -1x)] (72 + 9x) = 5[x + -1(9 + -1x)] 72 + 9x = 5[x + (9 * -1 + -1x * -1)] 72 + 9x = 5[x + (-9 + 1x)] Reorder the terms: 72 + 9x = 5[-9 + x + 1x] Combine like terms: x + 1x = 2x 72 + 9x = 5[-9 + 2x] 72 + 9x = [-9 * 5 + 2x * 5] 72 + 9x = [-45 + 10x] Solving 72 + 9x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 72 + 9x + -10x = -45 + 10x + -10x Combine like terms: 9x + -10x = -1x 72 + -1x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 72 + -1x = -45 + 0 72 + -1x = -45 Add '-72' to each side of the equation. 72 + -72 + -1x = -45 + -72 Combine like terms: 72 + -72 = 0 0 + -1x = -45 + -72 -1x = -45 + -72 Combine like terms: -45 + -72 = -117 -1x = -117 Divide each side by '-1'. x = 117 Simplifying x = 117
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