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Simplifying -1(x + -3) + 2(3x + 4) = 41 Reorder the terms: -1(-3 + x) + 2(3x + 4) = 41 (-3 * -1 + x * -1) + 2(3x + 4) = 41 (3 + -1x) + 2(3x + 4) = 41 Reorder the terms: 3 + -1x + 2(4 + 3x) = 41 3 + -1x + (4 * 2 + 3x * 2) = 41 3 + -1x + (8 + 6x) = 41 Reorder the terms: 3 + 8 + -1x + 6x = 41 Combine like terms: 3 + 8 = 11 11 + -1x + 6x = 41 Combine like terms: -1x + 6x = 5x 11 + 5x = 41 Solving 11 + 5x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 41 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 41 + -11 5x = 41 + -11 Combine like terms: 41 + -11 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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