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Simplifying -1(2x + 7) + 3(2x + 6) + -2x = 0 Reorder the terms: -1(7 + 2x) + 3(2x + 6) + -2x = 0 (7 * -1 + 2x * -1) + 3(2x + 6) + -2x = 0 (-7 + -2x) + 3(2x + 6) + -2x = 0 Reorder the terms: -7 + -2x + 3(6 + 2x) + -2x = 0 -7 + -2x + (6 * 3 + 2x * 3) + -2x = 0 -7 + -2x + (18 + 6x) + -2x = 0 Reorder the terms: -7 + 18 + -2x + 6x + -2x = 0 Combine like terms: -7 + 18 = 11 11 + -2x + 6x + -2x = 0 Combine like terms: -2x + 6x = 4x 11 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 11 + 2x = 0 Solving 11 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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