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Simplifying 7(3x + -5y) + -4(4x + -5y) = 0 (3x * 7 + -5y * 7) + -4(4x + -5y) = 0 (21x + -35y) + -4(4x + -5y) = 0 21x + -35y + (4x * -4 + -5y * -4) = 0 21x + -35y + (-16x + 20y) = 0 Reorder the terms: 21x + -16x + -35y + 20y = 0 Combine like terms: 21x + -16x = 5x 5x + -35y + 20y = 0 Combine like terms: -35y + 20y = -15y 5x + -15y = 0 Solving 5x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 5x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 5x + 0 = 0 + 15y 5x = 0 + 15y Remove the zero: 5x = 15y Divide each side by '5'. x = 3y Simplifying x = 3y
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