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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 Reorder the terms for easier multiplication: 4 + 3x + 2(7 + 2x) = 52 4 + 3x + (7 * 2 + 2x * 2) = 52 4 + 3x + (14 + 4x) = 52 Reorder the terms: 4 + 14 + 3x + 4x = 52 Combine like terms: 4 + 14 = 18 18 + 3x + 4x = 52 Combine like terms: 3x + 4x = 7x 18 + 7x = 52 Solving 18 + 7x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = 52 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 52 + -18 7x = 52 + -18 Combine like terms: 52 + -18 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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