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Simplifying 85 + 31x + -3 = 58x + 1 Reorder the terms: 85 + -3 + 31x = 58x + 1 Combine like terms: 85 + -3 = 82 82 + 31x = 58x + 1 Reorder the terms: 82 + 31x = 1 + 58x Solving 82 + 31x = 1 + 58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58x' to each side of the equation. 82 + 31x + -58x = 1 + 58x + -58x Combine like terms: 31x + -58x = -27x 82 + -27x = 1 + 58x + -58x Combine like terms: 58x + -58x = 0 82 + -27x = 1 + 0 82 + -27x = 1 Add '-82' to each side of the equation. 82 + -82 + -27x = 1 + -82 Combine like terms: 82 + -82 = 0 0 + -27x = 1 + -82 -27x = 1 + -82 Combine like terms: 1 + -82 = -81 -27x = -81 Divide each side by '-27'. x = 3 Simplifying x = 3
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