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Simplifying 17(17 + -1x) = 15(8x + 4) (17 * 17 + -1x * 17) = 15(8x + 4) (289 + -17x) = 15(8x + 4) Reorder the terms: 289 + -17x = 15(4 + 8x) 289 + -17x = (4 * 15 + 8x * 15) 289 + -17x = (60 + 120x) Solving 289 + -17x = 60 + 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 = 60 + 120x + -120x Combine like terms: -17x + -120x = -137x 289 + -137x = 60 + 120x + -120x Combine like terms: 120x + -120x = 0 289 + -137x = 60 + 0 289 + -137x = 60 Add '-289' to each side of the equation. 289 + -289 + -137x = 60 + -289 Combine like terms: 289 + -289 = 0 0 + -137x = 60 + -289 -137x = 60 + -289 Combine like terms: 60 + -289 = -229 -137x = -229 Divide each side by '-137'. x = 1.671532847 Simplifying x = 1.671532847
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