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Simplifying 8x + -1(2x + 5) + 1 = 5(x + -1) Reorder the terms: 8x + -1(5 + 2x) + 1 = 5(x + -1) 8x + (5 * -1 + 2x * -1) + 1 = 5(x + -1) 8x + (-5 + -2x) + 1 = 5(x + -1) Reorder the terms: -5 + 1 + 8x + -2x = 5(x + -1) Combine like terms: -5 + 1 = -4 -4 + 8x + -2x = 5(x + -1) Combine like terms: 8x + -2x = 6x -4 + 6x = 5(x + -1) Reorder the terms: -4 + 6x = 5(-1 + x) -4 + 6x = (-1 * 5 + x * 5) -4 + 6x = (-5 + 5x) Solving -4 + 6x = -5 + 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. -4 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = -5 + 0 -4 + 1x = -5 Add '4' to each side of the equation. -4 + 4 + 1x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -5 + 4 1x = -5 + 4 Combine like terms: -5 + 4 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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