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Simplifying 2x + 3x + 1 + 2(x + 4) = 37 Reorder the terms: 2x + 3x + 1 + 2(4 + x) = 37 2x + 3x + 1 + (4 * 2 + x * 2) = 37 2x + 3x + 1 + (8 + 2x) = 37 Reorder the terms: 1 + 8 + 2x + 3x + 2x = 37 Combine like terms: 1 + 8 = 9 9 + 2x + 3x + 2x = 37 Combine like terms: 2x + 3x = 5x 9 + 5x + 2x = 37 Combine like terms: 5x + 2x = 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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