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Simplifying 3(x + 6) = -3(x + -12) Reorder the terms: 3(6 + x) = -3(x + -12) (6 * 3 + x * 3) = -3(x + -12) (18 + 3x) = -3(x + -12) Reorder the terms: 18 + 3x = -3(-12 + x) 18 + 3x = (-12 * -3 + x * -3) 18 + 3x = (36 + -3x) Solving 18 + 3x = 36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 18 + 3x + 3x = 36 + -3x + 3x Combine like terms: 3x + 3x = 6x 18 + 6x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 6x = 36 + 0 18 + 6x = 36 Add '-18' to each side of the equation. 18 + -18 + 6x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 36 + -18 6x = 36 + -18 Combine like terms: 36 + -18 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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