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Simplifying 4(20 + -4x + -5x) + 5(2x + 4) = 48 Combine like terms: -4x + -5x = -9x 4(20 + -9x) + 5(2x + 4) = 48 (20 * 4 + -9x * 4) + 5(2x + 4) = 48 (80 + -36x) + 5(2x + 4) = 48 Reorder the terms: 80 + -36x + 5(4 + 2x) = 48 80 + -36x + (4 * 5 + 2x * 5) = 48 80 + -36x + (20 + 10x) = 48 Reorder the terms: 80 + 20 + -36x + 10x = 48 Combine like terms: 80 + 20 = 100 100 + -36x + 10x = 48 Combine like terms: -36x + 10x = -26x 100 + -26x = 48 Solving 100 + -26x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -26x = 48 + -100 Combine like terms: 100 + -100 = 0 0 + -26x = 48 + -100 -26x = 48 + -100 Combine like terms: 48 + -100 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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