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Simplifying 5(5x + 115) = 2(x + 69) Reorder the terms: 5(115 + 5x) = 2(x + 69) (115 * 5 + 5x * 5) = 2(x + 69) (575 + 25x) = 2(x + 69) Reorder the terms: 575 + 25x = 2(69 + x) 575 + 25x = (69 * 2 + x * 2) 575 + 25x = (138 + 2x) Solving 575 + 25x = 138 + 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. 575 + 25x + -2x = 138 + 2x + -2x Combine like terms: 25x + -2x = 23x 575 + 23x = 138 + 2x + -2x Combine like terms: 2x + -2x = 0 575 + 23x = 138 + 0 575 + 23x = 138 Add '-575' to each side of the equation. 575 + -575 + 23x = 138 + -575 Combine like terms: 575 + -575 = 0 0 + 23x = 138 + -575 23x = 138 + -575 Combine like terms: 138 + -575 = -437 23x = -437 Divide each side by '23'. x = -19 Simplifying x = -19
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