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Simplifying 6(x + 2x) = 2(3x + 12) Combine like terms: x + 2x = 3x 6(3x) = 2(3x + 12) Remove parenthesis around (3x) 6 * 3x = 2(3x + 12) Multiply 6 * 3 18x = 2(3x + 12) Reorder the terms: 18x = 2(12 + 3x) 18x = (12 * 2 + 3x * 2) 18x = (24 + 6x) Solving 18x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18x + -6x = 24 + 6x + -6x Combine like terms: 18x + -6x = 12x 12x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 12x = 24 + 0 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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