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Simplifying 2(-3x + 5) + -8 = -1x + 17 Reorder the terms: 2(5 + -3x) + -8 = -1x + 17 (5 * 2 + -3x * 2) + -8 = -1x + 17 (10 + -6x) + -8 = -1x + 17 Reorder the terms: 10 + -8 + -6x = -1x + 17 Combine like terms: 10 + -8 = 2 2 + -6x = -1x + 17 Reorder the terms: 2 + -6x = 17 + -1x Solving 2 + -6x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -6x + x = 17 + -1x + x Combine like terms: -6x + x = -5x 2 + -5x = 17 + -1x + x Combine like terms: -1x + x = 0 2 + -5x = 17 + 0 2 + -5x = 17 Add '-2' to each side of the equation. 2 + -2 + -5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 17 + -2 -5x = 17 + -2 Combine like terms: 17 + -2 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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