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Simplifying 4(x + 24 + 32y) = 0 Reorder the terms: 4(24 + x + 32y) = 0 (24 * 4 + x * 4 + 32y * 4) = 0 (96 + 4x + 128y) = 0 Solving 96 + 4x + 128y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + 4x + -96 + 128y = 0 + -96 Reorder the terms: 96 + -96 + 4x + 128y = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 4x + 128y = 0 + -96 4x + 128y = 0 + -96 Combine like terms: 0 + -96 = -96 4x + 128y = -96 Add '-128y' to each side of the equation. 4x + 128y + -128y = -96 + -128y Combine like terms: 128y + -128y = 0 4x + 0 = -96 + -128y 4x = -96 + -128y Divide each side by '4'. x = -24 + -32y Simplifying x = -24 + -32y
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