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Simplifying 3(2x + 6) + -2(2x + -4) = 120 Reorder the terms: 3(6 + 2x) + -2(2x + -4) = 120 (6 * 3 + 2x * 3) + -2(2x + -4) = 120 (18 + 6x) + -2(2x + -4) = 120 Reorder the terms: 18 + 6x + -2(-4 + 2x) = 120 18 + 6x + (-4 * -2 + 2x * -2) = 120 18 + 6x + (8 + -4x) = 120 Reorder the terms: 18 + 8 + 6x + -4x = 120 Combine like terms: 18 + 8 = 26 26 + 6x + -4x = 120 Combine like terms: 6x + -4x = 2x 26 + 2x = 120 Solving 26 + 2x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 2x = 120 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 120 + -26 2x = 120 + -26 Combine like terms: 120 + -26 = 94 2x = 94 Divide each side by '2'. x = 47 Simplifying x = 47
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