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Simplifying (7x + 4y) + -1(3x + -6y) = 0 Remove parenthesis around (7x + 4y) 7x + 4y + -1(3x + -6y) = 0 7x + 4y + (3x * -1 + -6y * -1) = 0 7x + 4y + (-3x + 6y) = 0 Reorder the terms: 7x + -3x + 4y + 6y = 0 Combine like terms: 7x + -3x = 4x 4x + 4y + 6y = 0 Combine like terms: 4y + 6y = 10y 4x + 10y = 0 Solving 4x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 4x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 4x + 0 = 0 + -10y 4x = 0 + -10y Remove the zero: 4x = -10y Divide each side by '4'. x = -2.5y Simplifying x = -2.5y
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