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Simplifying 31 + -1(x + 8) = 8x + -4 Reorder the terms: 31 + -1(8 + x) = 8x + -4 31 + (8 * -1 + x * -1) = 8x + -4 31 + (-8 + -1x) = 8x + -4 Combine like terms: 31 + -8 = 23 23 + -1x = 8x + -4 Reorder the terms: 23 + -1x = -4 + 8x Solving 23 + -1x = -4 + 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. 23 + -1x + -8x = -4 + 8x + -8x Combine like terms: -1x + -8x = -9x 23 + -9x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -9x = -4 + 0 23 + -9x = -4 Add '-23' to each side of the equation. 23 + -23 + -9x = -4 + -23 Combine like terms: 23 + -23 = 0 0 + -9x = -4 + -23 -9x = -4 + -23 Combine like terms: -4 + -23 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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