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Simplifying 2(2x + 7) + (3x + -5) = 37 Reorder the terms: 2(7 + 2x) + (3x + -5) = 37 (7 * 2 + 2x * 2) + (3x + -5) = 37 (14 + 4x) + (3x + -5) = 37 Reorder the terms: 14 + 4x + (-5 + 3x) = 37 Remove parenthesis around (-5 + 3x) 14 + 4x + -5 + 3x = 37 Reorder the terms: 14 + -5 + 4x + 3x = 37 Combine like terms: 14 + -5 = 9 9 + 4x + 3x = 37 Combine like terms: 4x + 3x = 7x 9 + 7x = 37 Solving 9 + 7x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 37 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 37 + -9 7x = 37 + -9 Combine like terms: 37 + -9 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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