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Simplifying 24 + -1(15x + -1) = -2(5 + 5x) Reorder the terms: 24 + -1(-1 + 15x) = -2(5 + 5x) 24 + (-1 * -1 + 15x * -1) = -2(5 + 5x) 24 + (1 + -15x) = -2(5 + 5x) Combine like terms: 24 + 1 = 25 25 + -15x = -2(5 + 5x) 25 + -15x = (5 * -2 + 5x * -2) 25 + -15x = (-10 + -10x) Solving 25 + -15x = -10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 25 + -15x + 10x = -10 + -10x + 10x Combine like terms: -15x + 10x = -5x 25 + -5x = -10 + -10x + 10x Combine like terms: -10x + 10x = 0 25 + -5x = -10 + 0 25 + -5x = -10 Add '-25' to each side of the equation. 25 + -25 + -5x = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -5x = -10 + -25 -5x = -10 + -25 Combine like terms: -10 + -25 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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