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