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Simplifying 2x + -1(5x + -2) = 8 + (2x + -1) Reorder the terms: 2x + -1(-2 + 5x) = 8 + (2x + -1) 2x + (-2 * -1 + 5x * -1) = 8 + (2x + -1) 2x + (2 + -5x) = 8 + (2x + -1) Reorder the terms: 2 + 2x + -5x = 8 + (2x + -1) Combine like terms: 2x + -5x = -3x 2 + -3x = 8 + (2x + -1) Reorder the terms: 2 + -3x = 8 + (-1 + 2x) Remove parenthesis around (-1 + 2x) 2 + -3x = 8 + -1 + 2x Combine like terms: 8 + -1 = 7 2 + -3x = 7 + 2x Solving 2 + -3x = 7 + 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. 2 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x 2 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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