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Simplifying (3x + -6) * 2 = 2(2x + -4) Reorder the terms: (-6 + 3x) * 2 = 2(2x + -4) Reorder the terms for easier multiplication: 2(-6 + 3x) = 2(2x + -4) (-6 * 2 + 3x * 2) = 2(2x + -4) (-12 + 6x) = 2(2x + -4) Reorder the terms: -12 + 6x = 2(-4 + 2x) -12 + 6x = (-4 * 2 + 2x * 2) -12 + 6x = (-8 + 4x) Solving -12 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = -8 + 0 -12 + 2x = -8 Add '12' to each side of the equation. -12 + 12 + 2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -8 + 12 2x = -8 + 12 Combine like terms: -8 + 12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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