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Simplifying 3[4x + -2(y + -3)] = 0 Reorder the terms: 3[4x + -2(-3 + y)] = 0 3[4x + (-3 * -2 + y * -2)] = 0 3[4x + (6 + -2y)] = 0 Reorder the terms: 3[6 + 4x + -2y] = 0 [6 * 3 + 4x * 3 + -2y * 3] = 0 [18 + 12x + -6y] = 0 Solving 18 + 12x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12x + -18 + -6y = 0 + -18 Reorder the terms: 18 + -18 + 12x + -6y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12x + -6y = 0 + -18 12x + -6y = 0 + -18 Combine like terms: 0 + -18 = -18 12x + -6y = -18 Add '6y' to each side of the equation. 12x + -6y + 6y = -18 + 6y Combine like terms: -6y + 6y = 0 12x + 0 = -18 + 6y 12x = -18 + 6y Divide each side by '12'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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