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Simplifying 4[1 + 4(5x + 2y)] = 0 4[1 + (5x * 4 + 2y * 4)] = 0 4[1 + (20x + 8y)] = 0 [1 * 4 + 20x * 4 + 8y * 4] = 0 [4 + 80x + 32y] = 0 Solving 4 + 80x + 32y = 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 + 80x + -4 + 32y = 0 + -4 Reorder the terms: 4 + -4 + 80x + 32y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 80x + 32y = 0 + -4 80x + 32y = 0 + -4 Combine like terms: 0 + -4 = -4 80x + 32y = -4 Add '-32y' to each side of the equation. 80x + 32y + -32y = -4 + -32y Combine like terms: 32y + -32y = 0 80x + 0 = -4 + -32y 80x = -4 + -32y Divide each side by '80'. x = -0.05 + -0.4y Simplifying x = -0.05 + -0.4y
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