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Simplifying 18x + 5(2x + 4) = 26x + 24 Reorder the terms: 18x + 5(4 + 2x) = 26x + 24 18x + (4 * 5 + 2x * 5) = 26x + 24 18x + (20 + 10x) = 26x + 24 Reorder the terms: 20 + 18x + 10x = 26x + 24 Combine like terms: 18x + 10x = 28x 20 + 28x = 26x + 24 Reorder the terms: 20 + 28x = 24 + 26x Solving 20 + 28x = 24 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 20 + 28x + -26x = 24 + 26x + -26x Combine like terms: 28x + -26x = 2x 20 + 2x = 24 + 26x + -26x Combine like terms: 26x + -26x = 0 20 + 2x = 24 + 0 20 + 2x = 24 Add '-20' to each side of the equation. 20 + -20 + 2x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 24 + -20 2x = 24 + -20 Combine like terms: 24 + -20 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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