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Simplifying -1(4x + -2) + 3(2x + 5) = 0 Reorder the terms: -1(-2 + 4x) + 3(2x + 5) = 0 (-2 * -1 + 4x * -1) + 3(2x + 5) = 0 (2 + -4x) + 3(2x + 5) = 0 Reorder the terms: 2 + -4x + 3(5 + 2x) = 0 2 + -4x + (5 * 3 + 2x * 3) = 0 2 + -4x + (15 + 6x) = 0 Reorder the terms: 2 + 15 + -4x + 6x = 0 Combine like terms: 2 + 15 = 17 17 + -4x + 6x = 0 Combine like terms: -4x + 6x = 2x 17 + 2x = 0 Solving 17 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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