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Simplifying x + -2(x + -8) = -31 Reorder the terms: x + -2(-8 + x) = -31 x + (-8 * -2 + x * -2) = -31 x + (16 + -2x) = -31 Reorder the terms: 16 + x + -2x = -31 Combine like terms: x + -2x = -1x 16 + -1x = -31 Solving 16 + -1x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = -31 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = -31 + -16 -1x = -31 + -16 Combine like terms: -31 + -16 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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