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Simplifying 17(17 + -1x) = 15(8x + 1) (17 * 17 + -1x * 17) = 15(8x + 1) (289 + -17x) = 15(8x + 1) Reorder the terms: 289 + -17x = 15(1 + 8x) 289 + -17x = (1 * 15 + 8x * 15) 289 + -17x = (15 + 120x) Solving 289 + -17x = 15 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 289 + -17x + -120x = 15 + 120x + -120x Combine like terms: -17x + -120x = -137x 289 + -137x = 15 + 120x + -120x Combine like terms: 120x + -120x = 0 289 + -137x = 15 + 0 289 + -137x = 15 Add '-289' to each side of the equation. 289 + -289 + -137x = 15 + -289 Combine like terms: 289 + -289 = 0 0 + -137x = 15 + -289 -137x = 15 + -289 Combine like terms: 15 + -289 = -274 -137x = -274 Divide each side by '-137'. x = 2 Simplifying x = 2
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