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Simplifying 8x + 71 = 11x + -31 Reorder the terms: 71 + 8x = 11x + -31 Reorder the terms: 71 + 8x = -31 + 11x Solving 71 + 8x = -31 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 71 + 8x + -11x = -31 + 11x + -11x Combine like terms: 8x + -11x = -3x 71 + -3x = -31 + 11x + -11x Combine like terms: 11x + -11x = 0 71 + -3x = -31 + 0 71 + -3x = -31 Add '-71' to each side of the equation. 71 + -71 + -3x = -31 + -71 Combine like terms: 71 + -71 = 0 0 + -3x = -31 + -71 -3x = -31 + -71 Combine like terms: -31 + -71 = -102 -3x = -102 Divide each side by '-3'. x = 34 Simplifying x = 34
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