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Simplifying (20x + 1.5y) + -1(10x + y) = 33 Remove parenthesis around (20x + 1.5y) 20x + 1.5y + -1(10x + y) = 33 20x + 1.5y + (10x * -1 + y * -1) = 33 20x + 1.5y + (-10x + -1y) = 33 Reorder the terms: 20x + -10x + 1.5y + -1y = 33 Combine like terms: 20x + -10x = 10x 10x + 1.5y + -1y = 33 Combine like terms: 1.5y + -1y = 0.5y 10x + 0.5y = 33 Solving 10x + 0.5y = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5y' to each side of the equation. 10x + 0.5y + -0.5y = 33 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 10x + 0.0 = 33 + -0.5y 10x = 33 + -0.5y Divide each side by '10'. x = 3.3 + -0.05y Simplifying x = 3.3 + -0.05y
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