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Simplifying 2(3x + 6) = 5x + 18 Reorder the terms: 2(6 + 3x) = 5x + 18 (6 * 2 + 3x * 2) = 5x + 18 (12 + 6x) = 5x + 18 Reorder the terms: 12 + 6x = 18 + 5x Solving 12 + 6x = 18 + 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. 12 + 6x + -5x = 18 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 18 + 0 12 + 1x = 18 Add '-12' to each side of the equation. 12 + -12 + 1x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 18 + -12 1x = 18 + -12 Combine like terms: 18 + -12 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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