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Simplifying 4x + 3(x + 2) + 6 = 33 Reorder the terms: 4x + 3(2 + x) + 6 = 33 4x + (2 * 3 + x * 3) + 6 = 33 4x + (6 + 3x) + 6 = 33 Reorder the terms: 6 + 6 + 4x + 3x = 33 Combine like terms: 6 + 6 = 12 12 + 4x + 3x = 33 Combine like terms: 4x + 3x = 7x 12 + 7x = 33 Solving 12 + 7x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 33 + -12 7x = 33 + -12 Combine like terms: 33 + -12 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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