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Simplifying 0.5(2x) + 0.25(5y) + 0.25(10z) = 350 Remove parenthesis around (2x) 0.5 * 2x + 0.25(5y) + 0.25(10z) = 350 Multiply 0.5 * 2 1x + 0.25(5y) + 0.25(10z) = 350 Remove parenthesis around (5y) 1x + 0.25 * 5y + 0.25(10z) = 350 Multiply 0.25 * 5 1x + 1.25y + 0.25(10z) = 350 Remove parenthesis around (10z) 1x + 1.25y + 0.25 * 10z = 350 Multiply 0.25 * 10 1x + 1.25y + 2.5z = 350 Solving 1x + 1.25y + 2.5z = 350 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25y' to each side of the equation. 1x + 1.25y + -1.25y + 2.5z = 350 + -1.25y Combine like terms: 1.25y + -1.25y = 0.00 1x + 0.00 + 2.5z = 350 + -1.25y 1x + 2.5z = 350 + -1.25y Add '-2.5z' to each side of the equation. 1x + 2.5z + -2.5z = 350 + -1.25y + -2.5z Combine like terms: 2.5z + -2.5z = 0.0 1x + 0.0 = 350 + -1.25y + -2.5z 1x = 350 + -1.25y + -2.5z Divide each side by '1'. x = 350 + -1.25y + -2.5z Simplifying x = 350 + -1.25y + -2.5z
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