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Simplifying 12x + -1(3 + -1x) + 2x = 41 + -1(-1) 12x + (3 * -1 + -1x * -1) + 2x = 41 + -1(-1) 12x + (-3 + 1x) + 2x = 41 + -1(-1) Reorder the terms: -3 + 12x + 1x + 2x = 41 + -1(-1) Combine like terms: 12x + 1x = 13x -3 + 13x + 2x = 41 + -1(-1) Combine like terms: 13x + 2x = 15x -3 + 15x = 41 + -1(-1) Multiply -1 * -1 -3 + 15x = 41 + 1 Combine like terms: 41 + 1 = 42 -3 + 15x = 42 Solving -3 + 15x = 42 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 + 15x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = 42 + 3 15x = 42 + 3 Combine like terms: 42 + 3 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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