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Simplifying 24 + -9x = -5(7x + 2) + -5(-3 + -5x) Reorder the terms: 24 + -9x = -5(2 + 7x) + -5(-3 + -5x) 24 + -9x = (2 * -5 + 7x * -5) + -5(-3 + -5x) 24 + -9x = (-10 + -35x) + -5(-3 + -5x) 24 + -9x = -10 + -35x + (-3 * -5 + -5x * -5) 24 + -9x = -10 + -35x + (15 + 25x) Reorder the terms: 24 + -9x = -10 + 15 + -35x + 25x Combine like terms: -10 + 15 = 5 24 + -9x = 5 + -35x + 25x Combine like terms: -35x + 25x = -10x 24 + -9x = 5 + -10x Solving 24 + -9x = 5 + -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. 24 + -9x + 10x = 5 + -10x + 10x Combine like terms: -9x + 10x = 1x 24 + 1x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 24 + 1x = 5 + 0 24 + 1x = 5 Add '-24' to each side of the equation. 24 + -24 + 1x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 5 + -24 1x = 5 + -24 Combine like terms: 5 + -24 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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