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Simplifying 2x + 7x + 3x + 3(x + 1) = 33 Reorder the terms: 2x + 7x + 3x + 3(1 + x) = 33 2x + 7x + 3x + (1 * 3 + x * 3) = 33 2x + 7x + 3x + (3 + 3x) = 33 Reorder the terms: 3 + 2x + 7x + 3x + 3x = 33 Combine like terms: 2x + 7x = 9x 3 + 9x + 3x + 3x = 33 Combine like terms: 9x + 3x = 12x 3 + 12x + 3x = 33 Combine like terms: 12x + 3x = 15x 3 + 15x = 33 Solving 3 + 15x = 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 + 15x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = 33 + -3 15x = 33 + -3 Combine like terms: 33 + -3 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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