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Simplifying 43 = (6(x + -1)) + 31 Reorder the terms: 43 = (6(-1 + x)) + 31 43 = ((-1 * 6 + x * 6)) + 31 43 = ((-6 + 6x)) + 31 43 = (-6 + 6x) + 31 Remove parenthesis around (-6 + 6x) 43 = -6 + 6x + 31 Reorder the terms: 43 = -6 + 31 + 6x Combine like terms: -6 + 31 = 25 43 = 25 + 6x Solving 43 = 25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 43 + -6x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -6x = 25 + 0 43 + -6x = 25 Add '-43' to each side of the equation. 43 + -43 + -6x = 25 + -43 Combine like terms: 43 + -43 = 0 0 + -6x = 25 + -43 -6x = 25 + -43 Combine like terms: 25 + -43 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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