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Simplifying 5x + -1(2x + -1) = 10 + 2(3 + -1x) Reorder the terms: 5x + -1(-1 + 2x) = 10 + 2(3 + -1x) 5x + (-1 * -1 + 2x * -1) = 10 + 2(3 + -1x) 5x + (1 + -2x) = 10 + 2(3 + -1x) Reorder the terms: 1 + 5x + -2x = 10 + 2(3 + -1x) Combine like terms: 5x + -2x = 3x 1 + 3x = 10 + 2(3 + -1x) 1 + 3x = 10 + (3 * 2 + -1x * 2) 1 + 3x = 10 + (6 + -2x) Combine like terms: 10 + 6 = 16 1 + 3x = 16 + -2x Solving 1 + 3x = 16 + -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. 1 + 3x + 2x = 16 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 16 + 0 1 + 5x = 16 Add '-1' to each side of the equation. 1 + -1 + 5x = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 16 + -1 5x = 16 + -1 Combine like terms: 16 + -1 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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