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Simplifying -1(2x + 5) + 3(2x + 8) + -2x = 0 Reorder the terms: -1(5 + 2x) + 3(2x + 8) + -2x = 0 (5 * -1 + 2x * -1) + 3(2x + 8) + -2x = 0 (-5 + -2x) + 3(2x + 8) + -2x = 0 Reorder the terms: -5 + -2x + 3(8 + 2x) + -2x = 0 -5 + -2x + (8 * 3 + 2x * 3) + -2x = 0 -5 + -2x + (24 + 6x) + -2x = 0 Reorder the terms: -5 + 24 + -2x + 6x + -2x = 0 Combine like terms: -5 + 24 = 19 19 + -2x + 6x + -2x = 0 Combine like terms: -2x + 6x = 4x 19 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 19 + 2x = 0 Solving 19 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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