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Simplifying (6x + 4y) + -1(2x + y) = 0 Remove parenthesis around (6x + 4y) 6x + 4y + -1(2x + y) = 0 6x + 4y + (2x * -1 + y * -1) = 0 6x + 4y + (-2x + -1y) = 0 Reorder the terms: 6x + -2x + 4y + -1y = 0 Combine like terms: 6x + -2x = 4x 4x + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y 4x + 3y = 0 Solving 4x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75y
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