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Simplifying -12 = -6(x + -3) + 3(x + -4) Reorder the terms: -12 = -6(-3 + x) + 3(x + -4) -12 = (-3 * -6 + x * -6) + 3(x + -4) -12 = (18 + -6x) + 3(x + -4) Reorder the terms: -12 = 18 + -6x + 3(-4 + x) -12 = 18 + -6x + (-4 * 3 + x * 3) -12 = 18 + -6x + (-12 + 3x) Reorder the terms: -12 = 18 + -12 + -6x + 3x Combine like terms: 18 + -12 = 6 -12 = 6 + -6x + 3x Combine like terms: -6x + 3x = -3x -12 = 6 + -3x Solving -12 = 6 + -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. -12 + 3x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 3x = 6 + 0 -12 + 3x = 6 Add '12' to each side of the equation. -12 + 12 + 3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 6 + 12 3x = 6 + 12 Combine like terms: 6 + 12 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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