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Simplifying 8(-11x + 15) = -12(x + -4) Reorder the terms: 8(15 + -11x) = -12(x + -4) (15 * 8 + -11x * 8) = -12(x + -4) (120 + -88x) = -12(x + -4) Reorder the terms: 120 + -88x = -12(-4 + x) 120 + -88x = (-4 * -12 + x * -12) 120 + -88x = (48 + -12x) Solving 120 + -88x = 48 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 120 + -88x + 12x = 48 + -12x + 12x Combine like terms: -88x + 12x = -76x 120 + -76x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 120 + -76x = 48 + 0 120 + -76x = 48 Add '-120' to each side of the equation. 120 + -120 + -76x = 48 + -120 Combine like terms: 120 + -120 = 0 0 + -76x = 48 + -120 -76x = 48 + -120 Combine like terms: 48 + -120 = -72 -76x = -72 Divide each side by '-76'. x = 0.9473684211 Simplifying x = 0.9473684211
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