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Simplifying 5(7x + -2y) + -4(3y + -2x) = 0 (7x * 5 + -2y * 5) + -4(3y + -2x) = 0 (35x + -10y) + -4(3y + -2x) = 0 Reorder the terms: 35x + -10y + -4(-2x + 3y) = 0 35x + -10y + (-2x * -4 + 3y * -4) = 0 35x + -10y + (8x + -12y) = 0 Reorder the terms: 35x + 8x + -10y + -12y = 0 Combine like terms: 35x + 8x = 43x 43x + -10y + -12y = 0 Combine like terms: -10y + -12y = -22y 43x + -22y = 0 Solving 43x + -22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22y' to each side of the equation. 43x + -22y + 22y = 0 + 22y Combine like terms: -22y + 22y = 0 43x + 0 = 0 + 22y 43x = 0 + 22y Remove the zero: 43x = 22y Divide each side by '43'. x = 0.511627907y Simplifying x = 0.511627907y
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