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Simplifying 8(-3x + 5) + 5(-5 + -1x) = -14 Reorder the terms: 8(5 + -3x) + 5(-5 + -1x) = -14 (5 * 8 + -3x * 8) + 5(-5 + -1x) = -14 (40 + -24x) + 5(-5 + -1x) = -14 40 + -24x + (-5 * 5 + -1x * 5) = -14 40 + -24x + (-25 + -5x) = -14 Reorder the terms: 40 + -25 + -24x + -5x = -14 Combine like terms: 40 + -25 = 15 15 + -24x + -5x = -14 Combine like terms: -24x + -5x = -29x 15 + -29x = -14 Solving 15 + -29x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -29x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -29x = -14 + -15 -29x = -14 + -15 Combine like terms: -14 + -15 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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