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Simplifying 12(x + 2) = -2(6 + -9x) Reorder the terms: 12(2 + x) = -2(6 + -9x) (2 * 12 + x * 12) = -2(6 + -9x) (24 + 12x) = -2(6 + -9x) 24 + 12x = (6 * -2 + -9x * -2) 24 + 12x = (-12 + 18x) Solving 24 + 12x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 24 + 12x + -18x = -12 + 18x + -18x Combine like terms: 12x + -18x = -6x 24 + -6x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -6x = -12 + 0 24 + -6x = -12 Add '-24' to each side of the equation. 24 + -24 + -6x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -12 + -24 -6x = -12 + -24 Combine like terms: -12 + -24 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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