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Simplifying 12x + -4(6y + -12) = 0 Reorder the terms: 12x + -4(-12 + 6y) = 0 12x + (-12 * -4 + 6y * -4) = 0 12x + (48 + -24y) = 0 Reorder the terms: 48 + 12x + -24y = 0 Solving 48 + 12x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 12x + -48 + -24y = 0 + -48 Reorder the terms: 48 + -48 + 12x + -24y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12x + -24y = 0 + -48 12x + -24y = 0 + -48 Combine like terms: 0 + -48 = -48 12x + -24y = -48 Add '24y' to each side of the equation. 12x + -24y + 24y = -48 + 24y Combine like terms: -24y + 24y = 0 12x + 0 = -48 + 24y 12x = -48 + 24y Divide each side by '12'. x = -4 + 2y Simplifying x = -4 + 2y
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