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Simplifying 3(2x + -6) = 2(4x + -12) Reorder the terms: 3(-6 + 2x) = 2(4x + -12) (-6 * 3 + 2x * 3) = 2(4x + -12) (-18 + 6x) = 2(4x + -12) Reorder the terms: -18 + 6x = 2(-12 + 4x) -18 + 6x = (-12 * 2 + 4x * 2) -18 + 6x = (-24 + 8x) Solving -18 + 6x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 6x + -8x = -24 + 8x + -8x Combine like terms: 6x + -8x = -2x -18 + -2x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -2x = -24 + 0 -18 + -2x = -24 Add '18' to each side of the equation. -18 + 18 + -2x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -24 + 18 -2x = -24 + 18 Combine like terms: -24 + 18 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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