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Simplifying 3[4x + -2(y + -2)] = 0 Reorder the terms: 3[4x + -2(-2 + y)] = 0 3[4x + (-2 * -2 + y * -2)] = 0 3[4x + (4 + -2y)] = 0 Reorder the terms: 3[4 + 4x + -2y] = 0 [4 * 3 + 4x * 3 + -2y * 3] = 0 [12 + 12x + -6y] = 0 Solving 12 + 12x + -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 + 12x + -12 + -6y = 0 + -12 Reorder the terms: 12 + -12 + 12x + -6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12x + -6y = 0 + -12 12x + -6y = 0 + -12 Combine like terms: 0 + -12 = -12 12x + -6y = -12 Add '6y' to each side of the equation. 12x + -6y + 6y = -12 + 6y Combine like terms: -6y + 6y = 0 12x + 0 = -12 + 6y 12x = -12 + 6y Divide each side by '12'. x = -1 + 0.5y Simplifying x = -1 + 0.5y
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