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Simplifying 2[4x + -4(y + -3)] = 0 Reorder the terms: 2[4x + -4(-3 + y)] = 0 2[4x + (-3 * -4 + y * -4)] = 0 2[4x + (12 + -4y)] = 0 Reorder the terms: 2[12 + 4x + -4y] = 0 [12 * 2 + 4x * 2 + -4y * 2] = 0 [24 + 8x + -8y] = 0 Solving 24 + 8x + -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 + 8x + -24 + -8y = 0 + -24 Reorder the terms: 24 + -24 + 8x + -8y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x + -8y = 0 + -24 8x + -8y = 0 + -24 Combine like terms: 0 + -24 = -24 8x + -8y = -24 Add '8y' to each side of the equation. 8x + -8y + 8y = -24 + 8y Combine like terms: -8y + 8y = 0 8x + 0 = -24 + 8y 8x = -24 + 8y Divide each side by '8'. x = -3 + y Simplifying x = -3 + y
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