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Simplifying 5(x + 9y) + -2(2x + 4y) = 0 (x * 5 + 9y * 5) + -2(2x + 4y) = 0 (5x + 45y) + -2(2x + 4y) = 0 5x + 45y + (2x * -2 + 4y * -2) = 0 5x + 45y + (-4x + -8y) = 0 Reorder the terms: 5x + -4x + 45y + -8y = 0 Combine like terms: 5x + -4x = 1x 1x + 45y + -8y = 0 Combine like terms: 45y + -8y = 37y 1x + 37y = 0 Solving 1x + 37y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37y' to each side of the equation. 1x + 37y + -37y = 0 + -37y Combine like terms: 37y + -37y = 0 1x + 0 = 0 + -37y 1x = 0 + -37y Remove the zero: 1x = -37y Divide each side by '1'. x = -37y Simplifying x = -37y
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