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Simplifying 5(-5x + 2) = -24 + -8x Reorder the terms: 5(2 + -5x) = -24 + -8x (2 * 5 + -5x * 5) = -24 + -8x (10 + -25x) = -24 + -8x Solving 10 + -25x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -25x + 8x = -24 + -8x + 8x Combine like terms: -25x + 8x = -17x 10 + -17x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + -17x = -24 + 0 10 + -17x = -24 Add '-10' to each side of the equation. 10 + -10 + -17x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = -24 + -10 -17x = -24 + -10 Combine like terms: -24 + -10 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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