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Simplifying 43 = 31 + -2(x + -2) Reorder the terms: 43 = 31 + -2(-2 + x) 43 = 31 + (-2 * -2 + x * -2) 43 = 31 + (4 + -2x) Combine like terms: 31 + 4 = 35 43 = 35 + -2x Solving 43 = 35 + -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 = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 43 + 2x = 35 + 0 43 + 2x = 35 Add '-43' to each side of the equation. 43 + -43 + 2x = 35 + -43 Combine like terms: 43 + -43 = 0 0 + 2x = 35 + -43 2x = 35 + -43 Combine like terms: 35 + -43 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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