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Simplifying 3(x + -4) + 12 = -6(x + -6) Reorder the terms: 3(-4 + x) + 12 = -6(x + -6) (-4 * 3 + x * 3) + 12 = -6(x + -6) (-12 + 3x) + 12 = -6(x + -6) Reorder the terms: -12 + 12 + 3x = -6(x + -6) Combine like terms: -12 + 12 = 0 0 + 3x = -6(x + -6) 3x = -6(x + -6) Reorder the terms: 3x = -6(-6 + x) 3x = (-6 * -6 + x * -6) 3x = (36 + -6x) Solving 3x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3x + 6x = 36 + -6x + 6x Combine like terms: 3x + 6x = 9x 9x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 9x = 36 + 0 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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