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Simplifying 6(3 + -2x) = 118 + 8(9x + -2) (3 * 6 + -2x * 6) = 118 + 8(9x + -2) (18 + -12x) = 118 + 8(9x + -2) Reorder the terms: 18 + -12x = 118 + 8(-2 + 9x) 18 + -12x = 118 + (-2 * 8 + 9x * 8) 18 + -12x = 118 + (-16 + 72x) Combine like terms: 118 + -16 = 102 18 + -12x = 102 + 72x Solving 18 + -12x = 102 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 18 + -12x + -72x = 102 + 72x + -72x Combine like terms: -12x + -72x = -84x 18 + -84x = 102 + 72x + -72x Combine like terms: 72x + -72x = 0 18 + -84x = 102 + 0 18 + -84x = 102 Add '-18' to each side of the equation. 18 + -18 + -84x = 102 + -18 Combine like terms: 18 + -18 = 0 0 + -84x = 102 + -18 -84x = 102 + -18 Combine like terms: 102 + -18 = 84 -84x = 84 Divide each side by '-84'. x = -1 Simplifying x = -1
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