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Simplifying 2(6x + 9 + -3x) = 5x + 21 Reorder the terms: 2(9 + 6x + -3x) = 5x + 21 Combine like terms: 6x + -3x = 3x 2(9 + 3x) = 5x + 21 (9 * 2 + 3x * 2) = 5x + 21 (18 + 6x) = 5x + 21 Reorder the terms: 18 + 6x = 21 + 5x Solving 18 + 6x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 6x + -5x = 21 + 5x + -5x Combine like terms: 6x + -5x = 1x 18 + 1x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 1x = 21 + 0 18 + 1x = 21 Add '-18' to each side of the equation. 18 + -18 + 1x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 21 + -18 1x = 21 + -18 Combine like terms: 21 + -18 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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