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Simplifying 28x + 24 = 42x + 17 Reorder the terms: 24 + 28x = 42x + 17 Reorder the terms: 24 + 28x = 17 + 42x Solving 24 + 28x = 17 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 24 + 28x + -42x = 17 + 42x + -42x Combine like terms: 28x + -42x = -14x 24 + -14x = 17 + 42x + -42x Combine like terms: 42x + -42x = 0 24 + -14x = 17 + 0 24 + -14x = 17 Add '-24' to each side of the equation. 24 + -24 + -14x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = 17 + -24 -14x = 17 + -24 Combine like terms: 17 + -24 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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