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Simplifying 46 = 31 + -3(x + -2) Reorder the terms: 46 = 31 + -3(-2 + x) 46 = 31 + (-2 * -3 + x * -3) 46 = 31 + (6 + -3x) Combine like terms: 31 + 6 = 37 46 = 37 + -3x Solving 46 = 37 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 46 + 3x = 37 + -3x + 3x Combine like terms: -3x + 3x = 0 46 + 3x = 37 + 0 46 + 3x = 37 Add '-46' to each side of the equation. 46 + -46 + 3x = 37 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 37 + -46 3x = 37 + -46 Combine like terms: 37 + -46 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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