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Simplifying 2(2x + 3) + 4(2x + 1) = 18 Reorder the terms: 2(3 + 2x) + 4(2x + 1) = 18 (3 * 2 + 2x * 2) + 4(2x + 1) = 18 (6 + 4x) + 4(2x + 1) = 18 Reorder the terms: 6 + 4x + 4(1 + 2x) = 18 6 + 4x + (1 * 4 + 2x * 4) = 18 6 + 4x + (4 + 8x) = 18 Reorder the terms: 6 + 4 + 4x + 8x = 18 Combine like terms: 6 + 4 = 10 10 + 4x + 8x = 18 Combine like terms: 4x + 8x = 12x 10 + 12x = 18 Solving 10 + 12x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 18 + -10 12x = 18 + -10 Combine like terms: 18 + -10 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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