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Simplifying 10(18 + -1x) = 8(x + 36) (18 * 10 + -1x * 10) = 8(x + 36) (180 + -10x) = 8(x + 36) Reorder the terms: 180 + -10x = 8(36 + x) 180 + -10x = (36 * 8 + x * 8) 180 + -10x = (288 + 8x) Solving 180 + -10x = 288 + 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. 180 + -10x + -8x = 288 + 8x + -8x Combine like terms: -10x + -8x = -18x 180 + -18x = 288 + 8x + -8x Combine like terms: 8x + -8x = 0 180 + -18x = 288 + 0 180 + -18x = 288 Add '-180' to each side of the equation. 180 + -180 + -18x = 288 + -180 Combine like terms: 180 + -180 = 0 0 + -18x = 288 + -180 -18x = 288 + -180 Combine like terms: 288 + -180 = 108 -18x = 108 Divide each side by '-18'. x = -6 Simplifying x = -6
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