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Simplifying 9(8x + -31) = -17(-13 + -1x) Reorder the terms: 9(-31 + 8x) = -17(-13 + -1x) (-31 * 9 + 8x * 9) = -17(-13 + -1x) (-279 + 72x) = -17(-13 + -1x) -279 + 72x = (-13 * -17 + -1x * -17) -279 + 72x = (221 + 17x) Solving -279 + 72x = 221 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -279 + 72x + -17x = 221 + 17x + -17x Combine like terms: 72x + -17x = 55x -279 + 55x = 221 + 17x + -17x Combine like terms: 17x + -17x = 0 -279 + 55x = 221 + 0 -279 + 55x = 221 Add '279' to each side of the equation. -279 + 279 + 55x = 221 + 279 Combine like terms: -279 + 279 = 0 0 + 55x = 221 + 279 55x = 221 + 279 Combine like terms: 221 + 279 = 500 55x = 500 Divide each side by '55'. x = 9.090909091 Simplifying x = 9.090909091
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