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Simplifying 9(-15x + 10) + -17(8x + 18) = -12(-13x + -19) Reorder the terms: 9(10 + -15x) + -17(8x + 18) = -12(-13x + -19) (10 * 9 + -15x * 9) + -17(8x + 18) = -12(-13x + -19) (90 + -135x) + -17(8x + 18) = -12(-13x + -19) Reorder the terms: 90 + -135x + -17(18 + 8x) = -12(-13x + -19) 90 + -135x + (18 * -17 + 8x * -17) = -12(-13x + -19) 90 + -135x + (-306 + -136x) = -12(-13x + -19) Reorder the terms: 90 + -306 + -135x + -136x = -12(-13x + -19) Combine like terms: 90 + -306 = -216 -216 + -135x + -136x = -12(-13x + -19) Combine like terms: -135x + -136x = -271x -216 + -271x = -12(-13x + -19) Reorder the terms: -216 + -271x = -12(-19 + -13x) -216 + -271x = (-19 * -12 + -13x * -12) -216 + -271x = (228 + 156x) Solving -216 + -271x = 228 + 156x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-156x' to each side of the equation. -216 + -271x + -156x = 228 + 156x + -156x Combine like terms: -271x + -156x = -427x -216 + -427x = 228 + 156x + -156x Combine like terms: 156x + -156x = 0 -216 + -427x = 228 + 0 -216 + -427x = 228 Add '216' to each side of the equation. -216 + 216 + -427x = 228 + 216 Combine like terms: -216 + 216 = 0 0 + -427x = 228 + 216 -427x = 228 + 216 Combine like terms: 228 + 216 = 444 -427x = 444 Divide each side by '-427'. x = -1.039812646 Simplifying x = -1.039812646
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