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Simplifying 41 = 31 + -2(x + -3) Reorder the terms: 41 = 31 + -2(-3 + x) 41 = 31 + (-3 * -2 + x * -2) 41 = 31 + (6 + -2x) Combine like terms: 31 + 6 = 37 41 = 37 + -2x Solving 41 = 37 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 41 + 2x = 37 + -2x + 2x Combine like terms: -2x + 2x = 0 41 + 2x = 37 + 0 41 + 2x = 37 Add '-41' to each side of the equation. 41 + -41 + 2x = 37 + -41 Combine like terms: 41 + -41 = 0 0 + 2x = 37 + -41 2x = 37 + -41 Combine like terms: 37 + -41 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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