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Simplifying 5[3 + -1(-2x + -3)] = 171x + 76 Reorder the terms: 5[3 + -1(-3 + -2x)] = 171x + 76 5[3 + (-3 * -1 + -2x * -1)] = 171x + 76 5[3 + (3 + 2x)] = 171x + 76 Combine like terms: 3 + 3 = 6 5[6 + 2x] = 171x + 76 [6 * 5 + 2x * 5] = 171x + 76 [30 + 10x] = 171x + 76 Reorder the terms: 30 + 10x = 76 + 171x Solving 30 + 10x = 76 + 171x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-171x' to each side of the equation. 30 + 10x + -171x = 76 + 171x + -171x Combine like terms: 10x + -171x = -161x 30 + -161x = 76 + 171x + -171x Combine like terms: 171x + -171x = 0 30 + -161x = 76 + 0 30 + -161x = 76 Add '-30' to each side of the equation. 30 + -30 + -161x = 76 + -30 Combine like terms: 30 + -30 = 0 0 + -161x = 76 + -30 -161x = 76 + -30 Combine like terms: 76 + -30 = 46 -161x = 46 Divide each side by '-161'. x = -0.2857142857 Simplifying x = -0.2857142857
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