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Simplifying 5x + 8 = 3x + 10 Reorder the terms: 8 + 5x = 3x + 10 Reorder the terms: 8 + 5x = 10 + 3x Solving 8 + 5x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = 10 + 0 8 + 2x = 10 Add '-8' to each side of the equation. 8 + -8 + 2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 10 + -8 2x = 10 + -8 Combine like terms: 10 + -8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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