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Simplifying (10x) + (20(10x + 0.30)) + (4(10x + 1)) = 80 Reorder the terms: (10x) + (20(0.30 + 10x)) + (4(10x + 1)) = 80 (10x) + ((0.30 * 20 + 10x * 20)) + (4(10x + 1)) = 80 (10x) + ((6 + 200x)) + (4(10x + 1)) = 80 (10x) + (6 + 200x) + (4(10x + 1)) = 80 Remove parenthesis around (6 + 200x) (10x) + 6 + 200x + (4(10x + 1)) = 80 Reorder the terms: (10x) + 6 + 200x + (4(1 + 10x)) = 80 (10x) + 6 + 200x + ((1 * 4 + 10x * 4)) = 80 (10x) + 6 + 200x + ((4 + 40x)) = 80 (10x) + 6 + 200x + (4 + 40x) = 80 Remove parenthesis around (4 + 40x) (10x) + 6 + 200x + 4 + 40x = 80 Reorder the terms: 6 + 4 + (10x) + 200x + 40x = 80 Combine like terms: 6 + 4 = 10 10 + (10x) + 200x + 40x = 80 Combine like terms: (10x) + 200x = 210x 10 + 210x + 40x = 80 Combine like terms: 210x + 40x = 250x 10 + 250x = 80 Solving 10 + 250x = 80 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 + 250x = 80 + -10 Combine like terms: 10 + -10 = 0 0 + 250x = 80 + -10 250x = 80 + -10 Combine like terms: 80 + -10 = 70 250x = 70 Divide each side by '250'. x = 0.28 Simplifying x = 0.28
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