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Simplifying 9(6 + -2x) = -12(x + -8) (6 * 9 + -2x * 9) = -12(x + -8) (54 + -18x) = -12(x + -8) Reorder the terms: 54 + -18x = -12(-8 + x) 54 + -18x = (-8 * -12 + x * -12) 54 + -18x = (96 + -12x) Solving 54 + -18x = 96 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 54 + -18x + 12x = 96 + -12x + 12x Combine like terms: -18x + 12x = -6x 54 + -6x = 96 + -12x + 12x Combine like terms: -12x + 12x = 0 54 + -6x = 96 + 0 54 + -6x = 96 Add '-54' to each side of the equation. 54 + -54 + -6x = 96 + -54 Combine like terms: 54 + -54 = 0 0 + -6x = 96 + -54 -6x = 96 + -54 Combine like terms: 96 + -54 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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