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Simplifying 2(x + 9) = x + 33 Reorder the terms: 2(9 + x) = x + 33 (9 * 2 + x * 2) = x + 33 (18 + 2x) = x + 33 Reorder the terms: 18 + 2x = 33 + x Solving 18 + 2x = 33 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + 2x + -1x = 33 + x + -1x Combine like terms: 2x + -1x = 1x 18 + 1x = 33 + x + -1x Combine like terms: x + -1x = 0 18 + 1x = 33 + 0 18 + 1x = 33 Add '-18' to each side of the equation. 18 + -18 + 1x = 33 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 33 + -18 1x = 33 + -18 Combine like terms: 33 + -18 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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