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