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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) Solving -12 + 2x = 12 + 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. -12 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x -12 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -4x = 12 + 0 -12 + -4x = 12 Add '12' to each side of the equation. -12 + 12 + -4x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 12 + 12 -4x = 12 + 12 Combine like terms: 12 + 12 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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