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Simplifying -1(2x + 5) + 3(-2x + 1) = 0 Reorder the terms: -1(5 + 2x) + 3(-2x + 1) = 0 (5 * -1 + 2x * -1) + 3(-2x + 1) = 0 (-5 + -2x) + 3(-2x + 1) = 0 Reorder the terms: -5 + -2x + 3(1 + -2x) = 0 -5 + -2x + (1 * 3 + -2x * 3) = 0 -5 + -2x + (3 + -6x) = 0 Reorder the terms: -5 + 3 + -2x + -6x = 0 Combine like terms: -5 + 3 = -2 -2 + -2x + -6x = 0 Combine like terms: -2x + -6x = -8x -2 + -8x = 0 Solving -2 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -8x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 0 + 2 -8x = 0 + 2 Combine like terms: 0 + 2 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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