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Simplifying 9(x + 2) = 33 + 4x Reorder the terms: 9(2 + x) = 33 + 4x (2 * 9 + x * 9) = 33 + 4x (18 + 9x) = 33 + 4x Solving 18 + 9x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 9x + -4x = 33 + 4x + -4x Combine like terms: 9x + -4x = 5x 18 + 5x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 5x = 33 + 0 18 + 5x = 33 Add '-18' to each side of the equation. 18 + -18 + 5x = 33 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 33 + -18 5x = 33 + -18 Combine like terms: 33 + -18 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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