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Simplifying 28x + 24 = 35x + 17 Reorder the terms: 24 + 28x = 35x + 17 Reorder the terms: 24 + 28x = 17 + 35x Solving 24 + 28x = 17 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 24 + 28x + -35x = 17 + 35x + -35x Combine like terms: 28x + -35x = -7x 24 + -7x = 17 + 35x + -35x Combine like terms: 35x + -35x = 0 24 + -7x = 17 + 0 24 + -7x = 17 Add '-24' to each side of the equation. 24 + -24 + -7x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 17 + -24 -7x = 17 + -24 Combine like terms: 17 + -24 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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