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Simplifying (2x + 3y)(4) = 0 Reorder the terms for easier multiplication: 4(2x + 3y) = 0 (2x * 4 + 3y * 4) = 0 (8x + 12y) = 0 Solving 8x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 8x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 8x + 0 = 0 + -12y 8x = 0 + -12y Remove the zero: 8x = -12y Divide each side by '8'. x = -1.5y Simplifying x = -1.5y
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