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Simplifying (8x + -7y) + -1(5x + 5y) = 0 Remove parenthesis around (8x + -7y) 8x + -7y + -1(5x + 5y) = 0 8x + -7y + (5x * -1 + 5y * -1) = 0 8x + -7y + (-5x + -5y) = 0 Reorder the terms: 8x + -5x + -7y + -5y = 0 Combine like terms: 8x + -5x = 3x 3x + -7y + -5y = 0 Combine like terms: -7y + -5y = -12y 3x + -12y = 0 Solving 3x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 3x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 3x + 0 = 0 + 12y 3x = 0 + 12y Remove the zero: 3x = 12y Divide each side by '3'. x = 4y Simplifying x = 4y
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