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Simplifying 4(-2x + 1) = -5(3 + -1x) Reorder the terms: 4(1 + -2x) = -5(3 + -1x) (1 * 4 + -2x * 4) = -5(3 + -1x) (4 + -8x) = -5(3 + -1x) 4 + -8x = (3 * -5 + -1x * -5) 4 + -8x = (-15 + 5x) Solving 4 + -8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -8x + -5x = -15 + 5x + -5x Combine like terms: -8x + -5x = -13x 4 + -13x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -13x = -15 + 0 4 + -13x = -15 Add '-4' to each side of the equation. 4 + -4 + -13x = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = -15 + -4 -13x = -15 + -4 Combine like terms: -15 + -4 = -19 -13x = -19 Divide each side by '-13'. x = 1.461538462 Simplifying x = 1.461538462
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