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Simplifying 21x + -1y + 21x + -6y + 35 = 0 Reorder the terms: 35 + 21x + 21x + -1y + -6y = 0 Combine like terms: 21x + 21x = 42x 35 + 42x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 35 + 42x + -7y = 0 Solving 35 + 42x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 42x + -35 + -7y = 0 + -35 Reorder the terms: 35 + -35 + 42x + -7y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 42x + -7y = 0 + -35 42x + -7y = 0 + -35 Combine like terms: 0 + -35 = -35 42x + -7y = -35 Add '7y' to each side of the equation. 42x + -7y + 7y = -35 + 7y Combine like terms: -7y + 7y = 0 42x + 0 = -35 + 7y 42x = -35 + 7y Divide each side by '42'. x = -0.8333333333 + 0.1666666667y Simplifying x = -0.8333333333 + 0.1666666667y
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