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Simplifying 7(x + -1y) + -5(2x + 4y) = 0 (x * 7 + -1y * 7) + -5(2x + 4y) = 0 (7x + -7y) + -5(2x + 4y) = 0 7x + -7y + (2x * -5 + 4y * -5) = 0 7x + -7y + (-10x + -20y) = 0 Reorder the terms: 7x + -10x + -7y + -20y = 0 Combine like terms: 7x + -10x = -3x -3x + -7y + -20y = 0 Combine like terms: -7y + -20y = -27y -3x + -27y = 0 Solving -3x + -27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y' to each side of the equation. -3x + -27y + 27y = 0 + 27y Combine like terms: -27y + 27y = 0 -3x + 0 = 0 + 27y -3x = 0 + 27y Remove the zero: -3x = 27y Divide each side by '-3'. x = -9y Simplifying x = -9y
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