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Simplifying 2(3x + 9) + -2x = 24 + -2x Reorder the terms: 2(9 + 3x) + -2x = 24 + -2x (9 * 2 + 3x * 2) + -2x = 24 + -2x (18 + 6x) + -2x = 24 + -2x Combine like terms: 6x + -2x = 4x 18 + 4x = 24 + -2x Solving 18 + 4x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x 18 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 6x = 24 + 0 18 + 6x = 24 Add '-18' to each side of the equation. 18 + -18 + 6x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 24 + -18 6x = 24 + -18 Combine like terms: 24 + -18 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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