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Simplifying (52x + 49y) + -1(-25x + 8y) = 0 Remove parenthesis around (52x + 49y) 52x + 49y + -1(-25x + 8y) = 0 52x + 49y + (-25x * -1 + 8y * -1) = 0 52x + 49y + (25x + -8y) = 0 Reorder the terms: 52x + 25x + 49y + -8y = 0 Combine like terms: 52x + 25x = 77x 77x + 49y + -8y = 0 Combine like terms: 49y + -8y = 41y 77x + 41y = 0 Solving 77x + 41y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41y' to each side of the equation. 77x + 41y + -41y = 0 + -41y Combine like terms: 41y + -41y = 0 77x + 0 = 0 + -41y 77x = 0 + -41y Remove the zero: 77x = -41y Divide each side by '77'. x = -0.5324675325y Simplifying x = -0.5324675325y
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