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Simplifying 2(5x + 2) = 8x + 6 Reorder the terms: 2(2 + 5x) = 8x + 6 (2 * 2 + 5x * 2) = 8x + 6 (4 + 10x) = 8x + 6 Reorder the terms: 4 + 10x = 6 + 8x Solving 4 + 10x = 6 + 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. 4 + 10x + -8x = 6 + 8x + -8x Combine like terms: 10x + -8x = 2x 4 + 2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 2x = 6 + 0 4 + 2x = 6 Add '-4' to each side of the equation. 4 + -4 + 2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 6 + -4 2x = 6 + -4 Combine like terms: 6 + -4 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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