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Simplifying 12 + -2(5x + 3y) = 0 12 + (5x * -2 + 3y * -2) = 0 12 + (-10x + -6y) = 0 Solving 12 + -10x + -6y = 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 + -10x + -12 + -6y = 0 + -12 Reorder the terms: 12 + -12 + -10x + -6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -10x + -6y = 0 + -12 -10x + -6y = 0 + -12 Combine like terms: 0 + -12 = -12 -10x + -6y = -12 Add '6y' to each side of the equation. -10x + -6y + 6y = -12 + 6y Combine like terms: -6y + 6y = 0 -10x + 0 = -12 + 6y -10x = -12 + 6y Divide each side by '-10'. x = 1.2 + -0.6y Simplifying x = 1.2 + -0.6y
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