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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 = 10x 18 + 10x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 10x = 8 + 0 18 + 10x = 8 Add '-18' to each side of the equation. 18 + -18 + 10x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = 8 + -18 10x = 8 + -18 Combine like terms: 8 + -18 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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