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Simplifying 8x + -1(3x + -5) = 2x + -1 Reorder the terms: 8x + -1(-5 + 3x) = 2x + -1 8x + (-5 * -1 + 3x * -1) = 2x + -1 8x + (5 + -3x) = 2x + -1 Reorder the terms: 5 + 8x + -3x = 2x + -1 Combine like terms: 8x + -3x = 5x 5 + 5x = 2x + -1 Reorder the terms: 5 + 5x = -1 + 2x Solving 5 + 5x = -1 + 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. 5 + 5x + -2x = -1 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = -1 + 0 5 + 3x = -1 Add '-5' to each side of the equation. 5 + -5 + 3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -1 + -5 3x = -1 + -5 Combine like terms: -1 + -5 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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