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Simplifying -17 + -17(17x + -13) = 11 + -7(-17x + 9) + 8(6x + -3) Reorder the terms: -17 + -17(-13 + 17x) = 11 + -7(-17x + 9) + 8(6x + -3) -17 + (-13 * -17 + 17x * -17) = 11 + -7(-17x + 9) + 8(6x + -3) -17 + (221 + -289x) = 11 + -7(-17x + 9) + 8(6x + -3) Combine like terms: -17 + 221 = 204 204 + -289x = 11 + -7(-17x + 9) + 8(6x + -3) Reorder the terms: 204 + -289x = 11 + -7(9 + -17x) + 8(6x + -3) 204 + -289x = 11 + (9 * -7 + -17x * -7) + 8(6x + -3) 204 + -289x = 11 + (-63 + 119x) + 8(6x + -3) Reorder the terms: 204 + -289x = 11 + -63 + 119x + 8(-3 + 6x) 204 + -289x = 11 + -63 + 119x + (-3 * 8 + 6x * 8) 204 + -289x = 11 + -63 + 119x + (-24 + 48x) Reorder the terms: 204 + -289x = 11 + -63 + -24 + 119x + 48x Combine like terms: 11 + -63 = -52 204 + -289x = -52 + -24 + 119x + 48x Combine like terms: -52 + -24 = -76 204 + -289x = -76 + 119x + 48x Combine like terms: 119x + 48x = 167x 204 + -289x = -76 + 167x Solving 204 + -289x = -76 + 167x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-167x' to each side of the equation. 204 + -289x + -167x = -76 + 167x + -167x Combine like terms: -289x + -167x = -456x 204 + -456x = -76 + 167x + -167x Combine like terms: 167x + -167x = 0 204 + -456x = -76 + 0 204 + -456x = -76 Add '-204' to each side of the equation. 204 + -204 + -456x = -76 + -204 Combine like terms: 204 + -204 = 0 0 + -456x = -76 + -204 -456x = -76 + -204 Combine like terms: -76 + -204 = -280 -456x = -280 Divide each side by '-456'. x = 0.6140350877 Simplifying x = 0.6140350877
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