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Simplifying -1(2x + 3) + 3(2x + 6) + -2x = 0 Reorder the terms: -1(3 + 2x) + 3(2x + 6) + -2x = 0 (3 * -1 + 2x * -1) + 3(2x + 6) + -2x = 0 (-3 + -2x) + 3(2x + 6) + -2x = 0 Reorder the terms: -3 + -2x + 3(6 + 2x) + -2x = 0 -3 + -2x + (6 * 3 + 2x * 3) + -2x = 0 -3 + -2x + (18 + 6x) + -2x = 0 Reorder the terms: -3 + 18 + -2x + 6x + -2x = 0 Combine like terms: -3 + 18 = 15 15 + -2x + 6x + -2x = 0 Combine like terms: -2x + 6x = 4x 15 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 15 + 2x = 0 Solving 15 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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