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Simplifying 3[4 + 5(2x + 3y)] = 0 3[4 + (2x * 5 + 3y * 5)] = 0 3[4 + (10x + 15y)] = 0 [4 * 3 + 10x * 3 + 15y * 3] = 0 [12 + 30x + 45y] = 0 Solving 12 + 30x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 30x + -12 + 45y = 0 + -12 Reorder the terms: 12 + -12 + 30x + 45y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 30x + 45y = 0 + -12 30x + 45y = 0 + -12 Combine like terms: 0 + -12 = -12 30x + 45y = -12 Add '-45y' to each side of the equation. 30x + 45y + -45y = -12 + -45y Combine like terms: 45y + -45y = 0 30x + 0 = -12 + -45y 30x = -12 + -45y Divide each side by '30'. x = -0.4 + -1.5y Simplifying x = -0.4 + -1.5y
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