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Simplifying (52x + 50y) + -1(-26x + 3y) = 0 Remove parenthesis around (52x + 50y) 52x + 50y + -1(-26x + 3y) = 0 52x + 50y + (-26x * -1 + 3y * -1) = 0 52x + 50y + (26x + -3y) = 0 Reorder the terms: 52x + 26x + 50y + -3y = 0 Combine like terms: 52x + 26x = 78x 78x + 50y + -3y = 0 Combine like terms: 50y + -3y = 47y 78x + 47y = 0 Solving 78x + 47y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47y' to each side of the equation. 78x + 47y + -47y = 0 + -47y Combine like terms: 47y + -47y = 0 78x + 0 = 0 + -47y 78x = 0 + -47y Remove the zero: 78x = -47y Divide each side by '78'. x = -0.6025641026y Simplifying x = -0.6025641026y
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