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Simplifying -8(2 + -1x) + -1(x + -5) = 31 (2 * -8 + -1x * -8) + -1(x + -5) = 31 (-16 + 8x) + -1(x + -5) = 31 Reorder the terms: -16 + 8x + -1(-5 + x) = 31 -16 + 8x + (-5 * -1 + x * -1) = 31 -16 + 8x + (5 + -1x) = 31 Reorder the terms: -16 + 5 + 8x + -1x = 31 Combine like terms: -16 + 5 = -11 -11 + 8x + -1x = 31 Combine like terms: 8x + -1x = 7x -11 + 7x = 31 Solving -11 + 7x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 31 + 11 7x = 31 + 11 Combine like terms: 31 + 11 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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