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Simplifying 2(5x + 5) + 8 = 3x + 32 Reorder the terms: 2(5 + 5x) + 8 = 3x + 32 (5 * 2 + 5x * 2) + 8 = 3x + 32 (10 + 10x) + 8 = 3x + 32 Reorder the terms: 10 + 8 + 10x = 3x + 32 Combine like terms: 10 + 8 = 18 18 + 10x = 3x + 32 Reorder the terms: 18 + 10x = 32 + 3x Solving 18 + 10x = 32 + 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. 18 + 10x + -3x = 32 + 3x + -3x Combine like terms: 10x + -3x = 7x 18 + 7x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 7x = 32 + 0 18 + 7x = 32 Add '-18' to each side of the equation. 18 + -18 + 7x = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 32 + -18 7x = 32 + -18 Combine like terms: 32 + -18 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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