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Simplifying (6x + -5y) + -1(4x + 3y) = 0 Remove parenthesis around (6x + -5y) 6x + -5y + -1(4x + 3y) = 0 6x + -5y + (4x * -1 + 3y * -1) = 0 6x + -5y + (-4x + -3y) = 0 Reorder the terms: 6x + -4x + -5y + -3y = 0 Combine like terms: 6x + -4x = 2x 2x + -5y + -3y = 0 Combine like terms: -5y + -3y = -8y 2x + -8y = 0 Solving 2x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 2x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 2x + 0 = 0 + 8y 2x = 0 + 8y Remove the zero: 2x = 8y Divide each side by '2'. x = 4y Simplifying x = 4y
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