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Simplifying (x + 1) + 2x + 2(x + 1) = 33 Reorder the terms: (1 + x) + 2x + 2(x + 1) = 33 Remove parenthesis around (1 + x) 1 + x + 2x + 2(x + 1) = 33 Reorder the terms: 1 + x + 2x + 2(1 + x) = 33 1 + x + 2x + (1 * 2 + x * 2) = 33 1 + x + 2x + (2 + 2x) = 33 Reorder the terms: 1 + 2 + x + 2x + 2x = 33 Combine like terms: 1 + 2 = 3 3 + x + 2x + 2x = 33 Combine like terms: x + 2x = 3x 3 + 3x + 2x = 33 Combine like terms: 3x + 2x = 5x 3 + 5x = 33 Solving 3 + 5x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 33 + -3 5x = 33 + -3 Combine like terms: 33 + -3 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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