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Simplifying 43 = 31 + -2(x + -1) Reorder the terms: 43 = 31 + -2(-1 + x) 43 = 31 + (-1 * -2 + x * -2) 43 = 31 + (2 + -2x) Combine like terms: 31 + 2 = 33 43 = 33 + -2x Solving 43 = 33 + -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. 43 + 2x = 33 + -2x + 2x Combine like terms: -2x + 2x = 0 43 + 2x = 33 + 0 43 + 2x = 33 Add '-43' to each side of the equation. 43 + -43 + 2x = 33 + -43 Combine like terms: 43 + -43 = 0 0 + 2x = 33 + -43 2x = 33 + -43 Combine like terms: 33 + -43 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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