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Simplifying 3(2x + -6) = 2(2x + 4) Reorder the terms: 3(-6 + 2x) = 2(2x + 4) (-6 * 3 + 2x * 3) = 2(2x + 4) (-18 + 6x) = 2(2x + 4) Reorder the terms: -18 + 6x = 2(4 + 2x) -18 + 6x = (4 * 2 + 2x * 2) -18 + 6x = (8 + 4x) Solving -18 + 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. -18 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = 8 + 0 -18 + 2x = 8 Add '18' to each side of the equation. -18 + 18 + 2x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 8 + 18 2x = 8 + 18 Combine like terms: 8 + 18 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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