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Simplifying 12 + 2(x + 5y) = 0 12 + (x * 2 + 5y * 2) = 0 12 + (2x + 10y) = 0 Solving 12 + 2x + 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 + 2x + -12 + 10y = 0 + -12 Reorder the terms: 12 + -12 + 2x + 10y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x + 10y = 0 + -12 2x + 10y = 0 + -12 Combine like terms: 0 + -12 = -12 2x + 10y = -12 Add '-10y' to each side of the equation. 2x + 10y + -10y = -12 + -10y Combine like terms: 10y + -10y = 0 2x + 0 = -12 + -10y 2x = -12 + -10y Divide each side by '2'. x = -6 + -5y Simplifying x = -6 + -5y
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