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Simplifying 12x + -1(3 + -30x + 5y) + 40y = 0 12x + (3 * -1 + -30x * -1 + 5y * -1) + 40y = 0 12x + (-3 + 30x + -5y) + 40y = 0 Reorder the terms: -3 + 12x + 30x + -5y + 40y = 0 Combine like terms: 12x + 30x = 42x -3 + 42x + -5y + 40y = 0 Combine like terms: -5y + 40y = 35y -3 + 42x + 35y = 0 Solving -3 + 42x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 42x + 3 + 35y = 0 + 3 Reorder the terms: -3 + 3 + 42x + 35y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 42x + 35y = 0 + 3 42x + 35y = 0 + 3 Combine like terms: 0 + 3 = 3 42x + 35y = 3 Add '-35y' to each side of the equation. 42x + 35y + -35y = 3 + -35y Combine like terms: 35y + -35y = 0 42x + 0 = 3 + -35y 42x = 3 + -35y Divide each side by '42'. x = 0.07142857143 + -0.8333333333y Simplifying x = 0.07142857143 + -0.8333333333y
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