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Simplifying -2x + 8 = 5 + -1(5x + 1) Reorder the terms: 8 + -2x = 5 + -1(5x + 1) Reorder the terms: 8 + -2x = 5 + -1(1 + 5x) 8 + -2x = 5 + (1 * -1 + 5x * -1) 8 + -2x = 5 + (-1 + -5x) Combine like terms: 5 + -1 = 4 8 + -2x = 4 + -5x Solving 8 + -2x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -2x + 5x = 4 + -5x + 5x Combine like terms: -2x + 5x = 3x 8 + 3x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 3x = 4 + 0 8 + 3x = 4 Add '-8' to each side of the equation. 8 + -8 + 3x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 4 + -8 3x = 4 + -8 Combine like terms: 4 + -8 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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