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Simplifying 2(x + 3) + -5(x + -1) = 41 Reorder the terms: 2(3 + x) + -5(x + -1) = 41 (3 * 2 + x * 2) + -5(x + -1) = 41 (6 + 2x) + -5(x + -1) = 41 Reorder the terms: 6 + 2x + -5(-1 + x) = 41 6 + 2x + (-1 * -5 + x * -5) = 41 6 + 2x + (5 + -5x) = 41 Reorder the terms: 6 + 5 + 2x + -5x = 41 Combine like terms: 6 + 5 = 11 11 + 2x + -5x = 41 Combine like terms: 2x + -5x = -3x 11 + -3x = 41 Solving 11 + -3x = 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 + -3x = 41 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 41 + -11 -3x = 41 + -11 Combine like terms: 41 + -11 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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