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Simplifying 7x + 35 = x + 65 Reorder the terms: 35 + 7x = x + 65 Reorder the terms: 35 + 7x = 65 + x Solving 35 + 7x = 65 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + 7x + -1x = 65 + x + -1x Combine like terms: 7x + -1x = 6x 35 + 6x = 65 + x + -1x Combine like terms: x + -1x = 0 35 + 6x = 65 + 0 35 + 6x = 65 Add '-35' to each side of the equation. 35 + -35 + 6x = 65 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 65 + -35 6x = 65 + -35 Combine like terms: 65 + -35 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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