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Simplifying 2[4x + -2(y + -1)] = 0 Reorder the terms: 2[4x + -2(-1 + y)] = 0 2[4x + (-1 * -2 + y * -2)] = 0 2[4x + (2 + -2y)] = 0 Reorder the terms: 2[2 + 4x + -2y] = 0 [2 * 2 + 4x * 2 + -2y * 2] = 0 [4 + 8x + -4y] = 0 Solving 4 + 8x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8x + -4 + -4y = 0 + -4 Reorder the terms: 4 + -4 + 8x + -4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8x + -4y = 0 + -4 8x + -4y = 0 + -4 Combine like terms: 0 + -4 = -4 8x + -4y = -4 Add '4y' to each side of the equation. 8x + -4y + 4y = -4 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = -4 + 4y 8x = -4 + 4y Divide each side by '8'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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