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Simplifying 4[4x + -2(y + -3)] = 0 Reorder the terms: 4[4x + -2(-3 + y)] = 0 4[4x + (-3 * -2 + y * -2)] = 0 4[4x + (6 + -2y)] = 0 Reorder the terms: 4[6 + 4x + -2y] = 0 [6 * 4 + 4x * 4 + -2y * 4] = 0 [24 + 16x + -8y] = 0 Solving 24 + 16x + -8y = 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 + 16x + -24 + -8y = 0 + -24 Reorder the terms: 24 + -24 + 16x + -8y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16x + -8y = 0 + -24 16x + -8y = 0 + -24 Combine like terms: 0 + -24 = -24 16x + -8y = -24 Add '8y' to each side of the equation. 16x + -8y + 8y = -24 + 8y Combine like terms: -8y + 8y = 0 16x + 0 = -24 + 8y 16x = -24 + 8y Divide each side by '16'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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