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Simplifying 171 + -5(2x + -9) = -1(-6x + 10) + 4 Reorder the terms: 171 + -5(-9 + 2x) = -1(-6x + 10) + 4 171 + (-9 * -5 + 2x * -5) = -1(-6x + 10) + 4 171 + (45 + -10x) = -1(-6x + 10) + 4 Combine like terms: 171 + 45 = 216 216 + -10x = -1(-6x + 10) + 4 Reorder the terms: 216 + -10x = -1(10 + -6x) + 4 216 + -10x = (10 * -1 + -6x * -1) + 4 216 + -10x = (-10 + 6x) + 4 Reorder the terms: 216 + -10x = -10 + 4 + 6x Combine like terms: -10 + 4 = -6 216 + -10x = -6 + 6x Solving 216 + -10x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 216 + -10x + -6x = -6 + 6x + -6x Combine like terms: -10x + -6x = -16x 216 + -16x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 216 + -16x = -6 + 0 216 + -16x = -6 Add '-216' to each side of the equation. 216 + -216 + -16x = -6 + -216 Combine like terms: 216 + -216 = 0 0 + -16x = -6 + -216 -16x = -6 + -216 Combine like terms: -6 + -216 = -222 -16x = -222 Divide each side by '-16'. x = 13.875 Simplifying x = 13.875
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