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Simplifying -2(4x + -3) + 5(2x + -1) = 0 Reorder the terms: -2(-3 + 4x) + 5(2x + -1) = 0 (-3 * -2 + 4x * -2) + 5(2x + -1) = 0 (6 + -8x) + 5(2x + -1) = 0 Reorder the terms: 6 + -8x + 5(-1 + 2x) = 0 6 + -8x + (-1 * 5 + 2x * 5) = 0 6 + -8x + (-5 + 10x) = 0 Reorder the terms: 6 + -5 + -8x + 10x = 0 Combine like terms: 6 + -5 = 1 1 + -8x + 10x = 0 Combine like terms: -8x + 10x = 2x 1 + 2x = 0 Solving 1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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