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Simplifying 31 + -1(x + 7) = 9x + -6 Reorder the terms: 31 + -1(7 + x) = 9x + -6 31 + (7 * -1 + x * -1) = 9x + -6 31 + (-7 + -1x) = 9x + -6 Combine like terms: 31 + -7 = 24 24 + -1x = 9x + -6 Reorder the terms: 24 + -1x = -6 + 9x Solving 24 + -1x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + -1x + -9x = -6 + 9x + -9x Combine like terms: -1x + -9x = -10x 24 + -10x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -10x = -6 + 0 24 + -10x = -6 Add '-24' to each side of the equation. 24 + -24 + -10x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -6 + -24 -10x = -6 + -24 Combine like terms: -6 + -24 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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