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Simplifying 12 + -2(3x + 5y) = 0 12 + (3x * -2 + 5y * -2) = 0 12 + (-6x + -10y) = 0 Solving 12 + -6x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -6x + -12 + -10y = 0 + -12 Reorder the terms: 12 + -12 + -6x + -10y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6x + -10y = 0 + -12 -6x + -10y = 0 + -12 Combine like terms: 0 + -12 = -12 -6x + -10y = -12 Add '10y' to each side of the equation. -6x + -10y + 10y = -12 + 10y Combine like terms: -10y + 10y = 0 -6x + 0 = -12 + 10y -6x = -12 + 10y Divide each side by '-6'. x = 2 + -1.666666667y Simplifying x = 2 + -1.666666667y
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