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Simplifying 4(x + -3y) + -1(2x + -2y) = 0 (x * 4 + -3y * 4) + -1(2x + -2y) = 0 (4x + -12y) + -1(2x + -2y) = 0 4x + -12y + (2x * -1 + -2y * -1) = 0 4x + -12y + (-2x + 2y) = 0 Reorder the terms: 4x + -2x + -12y + 2y = 0 Combine like terms: 4x + -2x = 2x 2x + -12y + 2y = 0 Combine like terms: -12y + 2y = -10y 2x + -10y = 0 Solving 2x + -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. 2x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 2x + 0 = 0 + 10y 2x = 0 + 10y Remove the zero: 2x = 10y Divide each side by '2'. x = 5y Simplifying x = 5y
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