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Simplifying 12 + -4(3x + 5y) = 0 12 + (3x * -4 + 5y * -4) = 0 12 + (-12x + -20y) = 0 Solving 12 + -12x + -20y = 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 + -12x + -12 + -20y = 0 + -12 Reorder the terms: 12 + -12 + -12x + -20y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x + -20y = 0 + -12 -12x + -20y = 0 + -12 Combine like terms: 0 + -12 = -12 -12x + -20y = -12 Add '20y' to each side of the equation. -12x + -20y + 20y = -12 + 20y Combine like terms: -20y + 20y = 0 -12x + 0 = -12 + 20y -12x = -12 + 20y Divide each side by '-12'. x = 1 + -1.666666667y Simplifying x = 1 + -1.666666667y
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