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Simplifying x + 5 = 75 + -1x Reorder the terms: 5 + x = 75 + -1x Solving 5 + x = 75 + -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. 5 + x + x = 75 + -1x + x Combine like terms: x + x = 2x 5 + 2x = 75 + -1x + x Combine like terms: -1x + x = 0 5 + 2x = 75 + 0 5 + 2x = 75 Add '-5' to each side of the equation. 5 + -5 + 2x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 75 + -5 2x = 75 + -5 Combine like terms: 75 + -5 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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