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Simplifying 3(2x + 2) = 2(18 + -2x) Reorder the terms: 3(2 + 2x) = 2(18 + -2x) (2 * 3 + 2x * 3) = 2(18 + -2x) (6 + 6x) = 2(18 + -2x) 6 + 6x = (18 * 2 + -2x * 2) 6 + 6x = (36 + -4x) Solving 6 + 6x = 36 + -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. 6 + 6x + 4x = 36 + -4x + 4x Combine like terms: 6x + 4x = 10x 6 + 10x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 10x = 36 + 0 6 + 10x = 36 Add '-6' to each side of the equation. 6 + -6 + 10x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 36 + -6 10x = 36 + -6 Combine like terms: 36 + -6 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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