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Simplifying (74x + -49y) + -1(49x + 20y) = 0 Remove parenthesis around (74x + -49y) 74x + -49y + -1(49x + 20y) = 0 74x + -49y + (49x * -1 + 20y * -1) = 0 74x + -49y + (-49x + -20y) = 0 Reorder the terms: 74x + -49x + -49y + -20y = 0 Combine like terms: 74x + -49x = 25x 25x + -49y + -20y = 0 Combine like terms: -49y + -20y = -69y 25x + -69y = 0 Solving 25x + -69y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69y' to each side of the equation. 25x + -69y + 69y = 0 + 69y Combine like terms: -69y + 69y = 0 25x + 0 = 0 + 69y 25x = 0 + 69y Remove the zero: 25x = 69y Divide each side by '25'. x = 2.76y Simplifying x = 2.76y
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