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Simplifying 2(5x + 2) + 5(x + 2) = 29 Reorder the terms: 2(2 + 5x) + 5(x + 2) = 29 (2 * 2 + 5x * 2) + 5(x + 2) = 29 (4 + 10x) + 5(x + 2) = 29 Reorder the terms: 4 + 10x + 5(2 + x) = 29 4 + 10x + (2 * 5 + x * 5) = 29 4 + 10x + (10 + 5x) = 29 Reorder the terms: 4 + 10 + 10x + 5x = 29 Combine like terms: 4 + 10 = 14 14 + 10x + 5x = 29 Combine like terms: 10x + 5x = 15x 14 + 15x = 29 Solving 14 + 15x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 15x = 29 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = 29 + -14 15x = 29 + -14 Combine like terms: 29 + -14 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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