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Simplifying -15(-24x + -23) = -5(7x + -227) Reorder the terms: -15(-23 + -24x) = -5(7x + -227) (-23 * -15 + -24x * -15) = -5(7x + -227) (345 + 360x) = -5(7x + -227) Reorder the terms: 345 + 360x = -5(-227 + 7x) 345 + 360x = (-227 * -5 + 7x * -5) 345 + 360x = (1135 + -35x) Solving 345 + 360x = 1135 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 345 + 360x + 35x = 1135 + -35x + 35x Combine like terms: 360x + 35x = 395x 345 + 395x = 1135 + -35x + 35x Combine like terms: -35x + 35x = 0 345 + 395x = 1135 + 0 345 + 395x = 1135 Add '-345' to each side of the equation. 345 + -345 + 395x = 1135 + -345 Combine like terms: 345 + -345 = 0 0 + 395x = 1135 + -345 395x = 1135 + -345 Combine like terms: 1135 + -345 = 790 395x = 790 Divide each side by '395'. x = 2 Simplifying x = 2
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