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Simplifying (54x + 59y) + (-10 + 42y) = 0 Remove parenthesis around (54x + 59y) 54x + 59y + (-10 + 42y) = 0 Remove parenthesis around (-10 + 42y) 54x + 59y + -10 + 42y = 0 Reorder the terms: -10 + 54x + 59y + 42y = 0 Combine like terms: 59y + 42y = 101y -10 + 54x + 101y = 0 Solving -10 + 54x + 101y = 0 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 + 54x + 10 + 101y = 0 + 10 Reorder the terms: -10 + 10 + 54x + 101y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 54x + 101y = 0 + 10 54x + 101y = 0 + 10 Combine like terms: 0 + 10 = 10 54x + 101y = 10 Add '-101y' to each side of the equation. 54x + 101y + -101y = 10 + -101y Combine like terms: 101y + -101y = 0 54x + 0 = 10 + -101y 54x = 10 + -101y Divide each side by '54'. x = 0.1851851852 + -1.87037037y Simplifying x = 0.1851851852 + -1.87037037y
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