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Simplifying 3[4x + -4(y + -2)] = 0 Reorder the terms: 3[4x + -4(-2 + y)] = 0 3[4x + (-2 * -4 + y * -4)] = 0 3[4x + (8 + -4y)] = 0 Reorder the terms: 3[8 + 4x + -4y] = 0 [8 * 3 + 4x * 3 + -4y * 3] = 0 [24 + 12x + -12y] = 0 Solving 24 + 12x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 12x + -24 + -12y = 0 + -24 Reorder the terms: 24 + -24 + 12x + -12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12x + -12y = 0 + -24 12x + -12y = 0 + -24 Combine like terms: 0 + -24 = -24 12x + -12y = -24 Add '12y' to each side of the equation. 12x + -12y + 12y = -24 + 12y Combine like terms: -12y + 12y = 0 12x + 0 = -24 + 12y 12x = -24 + 12y Divide each side by '12'. x = -2 + y Simplifying x = -2 + y
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