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Simplifying (3x + 7y) + -1(x + 12y) = 0 Remove parenthesis around (3x + 7y) 3x + 7y + -1(x + 12y) = 0 3x + 7y + (x * -1 + 12y * -1) = 0 3x + 7y + (-1x + -12y) = 0 Reorder the terms: 3x + -1x + 7y + -12y = 0 Combine like terms: 3x + -1x = 2x 2x + 7y + -12y = 0 Combine like terms: 7y + -12y = -5y 2x + -5y = 0 Solving 2x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y
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