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Simplifying -3(8x + 5) = -13(1 + -2x) Reorder the terms: -3(5 + 8x) = -13(1 + -2x) (5 * -3 + 8x * -3) = -13(1 + -2x) (-15 + -24x) = -13(1 + -2x) -15 + -24x = (1 * -13 + -2x * -13) -15 + -24x = (-13 + 26x) Solving -15 + -24x = -13 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -15 + -24x + -26x = -13 + 26x + -26x Combine like terms: -24x + -26x = -50x -15 + -50x = -13 + 26x + -26x Combine like terms: 26x + -26x = 0 -15 + -50x = -13 + 0 -15 + -50x = -13 Add '15' to each side of the equation. -15 + 15 + -50x = -13 + 15 Combine like terms: -15 + 15 = 0 0 + -50x = -13 + 15 -50x = -13 + 15 Combine like terms: -13 + 15 = 2 -50x = 2 Divide each side by '-50'. x = -0.04 Simplifying x = -0.04
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