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Simplifying (5x + 2) + -1(2x + -1) = 12 Reorder the terms: (2 + 5x) + -1(2x + -1) = 12 Remove parenthesis around (2 + 5x) 2 + 5x + -1(2x + -1) = 12 Reorder the terms: 2 + 5x + -1(-1 + 2x) = 12 2 + 5x + (-1 * -1 + 2x * -1) = 12 2 + 5x + (1 + -2x) = 12 Reorder the terms: 2 + 1 + 5x + -2x = 12 Combine like terms: 2 + 1 = 3 3 + 5x + -2x = 12 Combine like terms: 5x + -2x = 3x 3 + 3x = 12 Solving 3 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 3x = 12 + -3 Combine like terms: 12 + -3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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