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Simplifying -1(3x + -5) + 2(2x + -3) = 0 Reorder the terms: -1(-5 + 3x) + 2(2x + -3) = 0 (-5 * -1 + 3x * -1) + 2(2x + -3) = 0 (5 + -3x) + 2(2x + -3) = 0 Reorder the terms: 5 + -3x + 2(-3 + 2x) = 0 5 + -3x + (-3 * 2 + 2x * 2) = 0 5 + -3x + (-6 + 4x) = 0 Reorder the terms: 5 + -6 + -3x + 4x = 0 Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = 0 Combine like terms: -3x + 4x = 1x -1 + 1x = 0 Solving -1 + 1x = 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 + 1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 0 + 1 1x = 0 + 1 Combine like terms: 0 + 1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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