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Simplifying 4(4x + 8y) + -2(4x) = 0 (4x * 4 + 8y * 4) + -2(4x) = 0 (16x + 32y) + -2(4x) = 0 Remove parenthesis around (4x) 16x + 32y + -2 * 4x = 0 Multiply -2 * 4 16x + 32y + -8x = 0 Reorder the terms: 16x + -8x + 32y = 0 Combine like terms: 16x + -8x = 8x 8x + 32y = 0 Solving 8x + 32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32y' to each side of the equation. 8x + 32y + -32y = 0 + -32y Combine like terms: 32y + -32y = 0 8x + 0 = 0 + -32y 8x = 0 + -32y Remove the zero: 8x = -32y Divide each side by '8'. x = -4y Simplifying x = -4y
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