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Simplifying 9(6 + -2x) = -12(x + -11) (6 * 9 + -2x * 9) = -12(x + -11) (54 + -18x) = -12(x + -11) Reorder the terms: 54 + -18x = -12(-11 + x) 54 + -18x = (-11 * -12 + x * -12) 54 + -18x = (132 + -12x) Solving 54 + -18x = 132 + -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 = 132 + -12x + 12x Combine like terms: -18x + 12x = -6x 54 + -6x = 132 + -12x + 12x Combine like terms: -12x + 12x = 0 54 + -6x = 132 + 0 54 + -6x = 132 Add '-54' to each side of the equation. 54 + -54 + -6x = 132 + -54 Combine like terms: 54 + -54 = 0 0 + -6x = 132 + -54 -6x = 132 + -54 Combine like terms: 132 + -54 = 78 -6x = 78 Divide each side by '-6'. x = -13 Simplifying x = -13
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