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Simplifying (12x + 8y) + -1(4x + -2y) = 0 Remove parenthesis around (12x + 8y) 12x + 8y + -1(4x + -2y) = 0 12x + 8y + (4x * -1 + -2y * -1) = 0 12x + 8y + (-4x + 2y) = 0 Reorder the terms: 12x + -4x + 8y + 2y = 0 Combine like terms: 12x + -4x = 8x 8x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y 8x + 10y = 0 Solving 8x + 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. 8x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 8x + 0 = 0 + -10y 8x = 0 + -10y Remove the zero: 8x = -10y Divide each side by '8'. x = -1.25y Simplifying x = -1.25y
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