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Simplifying 35x + 28 = 5x + 105 Reorder the terms: 28 + 35x = 5x + 105 Reorder the terms: 28 + 35x = 105 + 5x Solving 28 + 35x = 105 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28 + 35x + -5x = 105 + 5x + -5x Combine like terms: 35x + -5x = 30x 28 + 30x = 105 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 30x = 105 + 0 28 + 30x = 105 Add '-28' to each side of the equation. 28 + -28 + 30x = 105 + -28 Combine like terms: 28 + -28 = 0 0 + 30x = 105 + -28 30x = 105 + -28 Combine like terms: 105 + -28 = 77 30x = 77 Divide each side by '30'. x = 2.566666667 Simplifying x = 2.566666667
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