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Simplifying 0 = 6(5x + 2y) + 3(4x + 3y) 0 = (5x * 6 + 2y * 6) + 3(4x + 3y) 0 = (30x + 12y) + 3(4x + 3y) 0 = 30x + 12y + (4x * 3 + 3y * 3) 0 = 30x + 12y + (12x + 9y) Reorder the terms: 0 = 30x + 12x + 12y + 9y Combine like terms: 30x + 12x = 42x 0 = 42x + 12y + 9y Combine like terms: 12y + 9y = 21y 0 = 42x + 21y Solving 0 = 42x + 21y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 0 + -42x = 42x + -42x + 21y Remove the zero: -42x = 42x + -42x + 21y Combine like terms: 42x + -42x = 0 -42x = 0 + 21y -42x = 21y Divide each side by '-42'. x = -0.5y Simplifying x = -0.5y
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