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Simplifying 31 + -1(x + 7) = 8x + -3 Reorder the terms: 31 + -1(7 + x) = 8x + -3 31 + (7 * -1 + x * -1) = 8x + -3 31 + (-7 + -1x) = 8x + -3 Combine like terms: 31 + -7 = 24 24 + -1x = 8x + -3 Reorder the terms: 24 + -1x = -3 + 8x Solving 24 + -1x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -1x + -8x = -3 + 8x + -8x Combine like terms: -1x + -8x = -9x 24 + -9x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -9x = -3 + 0 24 + -9x = -3 Add '-24' to each side of the equation. 24 + -24 + -9x = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -3 + -24 -9x = -3 + -24 Combine like terms: -3 + -24 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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