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Simplifying x + -31(1 + -1x) = 47 + -1x x + (1 * -31 + -1x * -31) = 47 + -1x x + (-31 + 31x) = 47 + -1x Reorder the terms: -31 + x + 31x = 47 + -1x Combine like terms: x + 31x = 32x -31 + 32x = 47 + -1x Solving -31 + 32x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -31 + 32x + x = 47 + -1x + x Combine like terms: 32x + x = 33x -31 + 33x = 47 + -1x + x Combine like terms: -1x + x = 0 -31 + 33x = 47 + 0 -31 + 33x = 47 Add '31' to each side of the equation. -31 + 31 + 33x = 47 + 31 Combine like terms: -31 + 31 = 0 0 + 33x = 47 + 31 33x = 47 + 31 Combine like terms: 47 + 31 = 78 33x = 78 Divide each side by '33'. x = 2.363636364 Simplifying x = 2.363636364
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