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Simplifying (2x + -1) + (x + -1) = x + 12 Reorder the terms: (-1 + 2x) + (x + -1) = x + 12 Remove parenthesis around (-1 + 2x) -1 + 2x + (x + -1) = x + 12 Reorder the terms: -1 + 2x + (-1 + x) = x + 12 Remove parenthesis around (-1 + x) -1 + 2x + -1 + x = x + 12 Reorder the terms: -1 + -1 + 2x + x = x + 12 Combine like terms: -1 + -1 = -2 -2 + 2x + x = x + 12 Combine like terms: 2x + x = 3x -2 + 3x = x + 12 Reorder the terms: -2 + 3x = 12 + x Solving -2 + 3x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 3x + -1x = 12 + x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 12 + x + -1x Combine like terms: x + -1x = 0 -2 + 2x = 12 + 0 -2 + 2x = 12 Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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