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Simplifying 3(4x + 5y) + 7(3y) = 0 (4x * 3 + 5y * 3) + 7(3y) = 0 (12x + 15y) + 7(3y) = 0 Remove parenthesis around (3y) 12x + 15y + 7 * 3y = 0 Multiply 7 * 3 12x + 15y + 21y = 0 Combine like terms: 15y + 21y = 36y 12x + 36y = 0 Solving 12x + 36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36y' to each side of the equation. 12x + 36y + -36y = 0 + -36y Combine like terms: 36y + -36y = 0 12x + 0 = 0 + -36y 12x = 0 + -36y Remove the zero: 12x = -36y Divide each side by '12'. x = -3y Simplifying x = -3y
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