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Simplifying ((3x + 4) + (2x + 7)) * 2 = 52 Reorder the terms: ((4 + 3x) + (2x + 7)) * 2 = 52 Remove parenthesis around (4 + 3x) (4 + 3x + (2x + 7)) * 2 = 52 Reorder the terms: (4 + 3x + (7 + 2x)) * 2 = 52 Remove parenthesis around (7 + 2x) (4 + 3x + 7 + 2x) * 2 = 52 Reorder the terms: (4 + 7 + 3x + 2x) * 2 = 52 Combine like terms: 4 + 7 = 11 (11 + 3x + 2x) * 2 = 52 Combine like terms: 3x + 2x = 5x (11 + 5x) * 2 = 52 Reorder the terms for easier multiplication: 2(11 + 5x) = 52 (11 * 2 + 5x * 2) = 52 (22 + 10x) = 52 Solving 22 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 10x = 52 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 52 + -22 10x = 52 + -22 Combine like terms: 52 + -22 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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