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Simplifying 5x + 8 = 2(2x + 5) Reorder the terms: 8 + 5x = 2(2x + 5) Reorder the terms: 8 + 5x = 2(5 + 2x) 8 + 5x = (5 * 2 + 2x * 2) 8 + 5x = (10 + 4x) Solving 8 + 5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 5x + -4x = 10 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = 10 + 0 8 + 1x = 10 Add '-8' to each side of the equation. 8 + -8 + 1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 10 + -8 1x = 10 + -8 Combine like terms: 10 + -8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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