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Simplifying 10x + 8 = 8x + 42 Reorder the terms: 8 + 10x = 8x + 42 Reorder the terms: 8 + 10x = 42 + 8x Solving 8 + 10x = 42 + 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. 8 + 10x + -8x = 42 + 8x + -8x Combine like terms: 10x + -8x = 2x 8 + 2x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 2x = 42 + 0 8 + 2x = 42 Add '-8' to each side of the equation. 8 + -8 + 2x = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 42 + -8 2x = 42 + -8 Combine like terms: 42 + -8 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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