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Simplifying (4x * 10) + (19y * 15) = 100 Reorder the terms for easier multiplication: (4 * 10x) + (19y * 15) = 100 Multiply 4 * 10 (40x) + (19y * 15) = 100 Reorder the terms for easier multiplication: (40x) + (19 * 15y) = 100 Multiply 19 * 15 (40x) + (285y) = 100 Solving (40x) + (285y) = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-285y)' to each side of the equation. (40x) + (285y) + (-285y) = 100 + (-285y) Combine like terms: (285y) + (-285y) = 0 (40x) + 0 = 100 + (-285y) (40x) = 100 + (-285y) Divide each side by '40'. x = 2.5 + (-7.125y) Simplifying x = 2.5 + (-7.125y)
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