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Simplifying 7x + 35 = 7 + 8x Reorder the terms: 35 + 7x = 7 + 8x Solving 35 + 7x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 7x + -8x = 7 + 8x + -8x Combine like terms: 7x + -8x = -1x 35 + -1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -1x = 7 + 0 35 + -1x = 7 Add '-35' to each side of the equation. 35 + -35 + -1x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 7 + -35 -1x = 7 + -35 Combine like terms: 7 + -35 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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