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Simplifying 5x + 35 = 83 + -1x Reorder the terms: 35 + 5x = 83 + -1x Solving 35 + 5x = 83 + -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. 35 + 5x + x = 83 + -1x + x Combine like terms: 5x + x = 6x 35 + 6x = 83 + -1x + x Combine like terms: -1x + x = 0 35 + 6x = 83 + 0 35 + 6x = 83 Add '-35' to each side of the equation. 35 + -35 + 6x = 83 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 83 + -35 6x = 83 + -35 Combine like terms: 83 + -35 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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