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Simplifying (2x + -1) + 2(4x + 5) = 5x + -1 Reorder the terms: (-1 + 2x) + 2(4x + 5) = 5x + -1 Remove parenthesis around (-1 + 2x) -1 + 2x + 2(4x + 5) = 5x + -1 Reorder the terms: -1 + 2x + 2(5 + 4x) = 5x + -1 -1 + 2x + (5 * 2 + 4x * 2) = 5x + -1 -1 + 2x + (10 + 8x) = 5x + -1 Reorder the terms: -1 + 10 + 2x + 8x = 5x + -1 Combine like terms: -1 + 10 = 9 9 + 2x + 8x = 5x + -1 Combine like terms: 2x + 8x = 10x 9 + 10x = 5x + -1 Reorder the terms: 9 + 10x = -1 + 5x Solving 9 + 10x = -1 + 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. 9 + 10x + -5x = -1 + 5x + -5x Combine like terms: 10x + -5x = 5x 9 + 5x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 5x = -1 + 0 9 + 5x = -1 Add '-9' to each side of the equation. 9 + -9 + 5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -1 + -9 5x = -1 + -9 Combine like terms: -1 + -9 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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