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