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