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Simplifying 3(2x + -6) = 5(2x + 2) Reorder the terms: 3(-6 + 2x) = 5(2x + 2) (-6 * 3 + 2x * 3) = 5(2x + 2) (-18 + 6x) = 5(2x + 2) Reorder the terms: -18 + 6x = 5(2 + 2x) -18 + 6x = (2 * 5 + 2x * 5) -18 + 6x = (10 + 10x) Solving -18 + 6x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x -18 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -4x = 10 + 0 -18 + -4x = 10 Add '18' to each side of the equation. -18 + 18 + -4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 10 + 18 -4x = 10 + 18 Combine like terms: 10 + 18 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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