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Simplifying 2(3x + -6) = 3(x + -4) Reorder the terms: 2(-6 + 3x) = 3(x + -4) (-6 * 2 + 3x * 2) = 3(x + -4) (-12 + 6x) = 3(x + -4) Reorder the terms: -12 + 6x = 3(-4 + x) -12 + 6x = (-4 * 3 + x * 3) -12 + 6x = (-12 + 3x) Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + 3x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + 3x 6x = -12 + 12 + 3x Combine like terms: -12 + 12 = 0 6x = 0 + 3x 6x = 3x Solving 6x = 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. 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 3x + -3x Combine like terms: 3x + -3x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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