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Simplifying 5(2y + -1y) + -4(x + 9y) = 0 Combine like terms: 2y + -1y = 1y 5(1y) + -4(x + 9y) = 0 Remove parenthesis around (1y) 5 * 1y + -4(x + 9y) = 0 Multiply 5 * 1 5y + -4(x + 9y) = 0 5y + (x * -4 + 9y * -4) = 0 5y + (-4x + -36y) = 0 Reorder the terms: -4x + 5y + -36y = 0 Combine like terms: 5y + -36y = -31y -4x + -31y = 0 Solving -4x + -31y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31y' to each side of the equation. -4x + -31y + 31y = 0 + 31y Combine like terms: -31y + 31y = 0 -4x + 0 = 0 + 31y -4x = 0 + 31y Remove the zero: -4x = 31y Divide each side by '-4'. x = -7.75y Simplifying x = -7.75y
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