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Simplifying 5(5x + -23) = 2(x + 115) Reorder the terms: 5(-23 + 5x) = 2(x + 115) (-23 * 5 + 5x * 5) = 2(x + 115) (-115 + 25x) = 2(x + 115) Reorder the terms: -115 + 25x = 2(115 + x) -115 + 25x = (115 * 2 + x * 2) -115 + 25x = (230 + 2x) Solving -115 + 25x = 230 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -115 + 25x + -2x = 230 + 2x + -2x Combine like terms: 25x + -2x = 23x -115 + 23x = 230 + 2x + -2x Combine like terms: 2x + -2x = 0 -115 + 23x = 230 + 0 -115 + 23x = 230 Add '115' to each side of the equation. -115 + 115 + 23x = 230 + 115 Combine like terms: -115 + 115 = 0 0 + 23x = 230 + 115 23x = 230 + 115 Combine like terms: 230 + 115 = 345 23x = 345 Divide each side by '23'. x = 15 Simplifying x = 15
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