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Simplifying 5x + -6[-2x + 17] = -17 Reorder the terms: 5x + -6[17 + -2x] = -17 5x + [17 * -6 + -2x * -6] = -17 5x + [-102 + 12x] = -17 Reorder the terms: -102 + 5x + 12x = -17 Combine like terms: 5x + 12x = 17x -102 + 17x = -17 Solving -102 + 17x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 17x = -17 + 102 Combine like terms: -102 + 102 = 0 0 + 17x = -17 + 102 17x = -17 + 102 Combine like terms: -17 + 102 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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