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Simplifying -5(x + -1) + 8x = 7 + 1 Reorder the terms: -5(-1 + x) + 8x = 7 + 1 (-1 * -5 + x * -5) + 8x = 7 + 1 (5 + -5x) + 8x = 7 + 1 Combine like terms: -5x + 8x = 3x 5 + 3x = 7 + 1 Combine like terms: 7 + 1 = 8 5 + 3x = 8 Solving 5 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 8 + -5 3x = 8 + -5 Combine like terms: 8 + -5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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