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Simplifying (48x + 77y) + -1(14x + 34y) = 0 Remove parenthesis around (48x + 77y) 48x + 77y + -1(14x + 34y) = 0 48x + 77y + (14x * -1 + 34y * -1) = 0 48x + 77y + (-14x + -34y) = 0 Reorder the terms: 48x + -14x + 77y + -34y = 0 Combine like terms: 48x + -14x = 34x 34x + 77y + -34y = 0 Combine like terms: 77y + -34y = 43y 34x + 43y = 0 Solving 34x + 43y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43y' to each side of the equation. 34x + 43y + -43y = 0 + -43y Combine like terms: 43y + -43y = 0 34x + 0 = 0 + -43y 34x = 0 + -43y Remove the zero: 34x = -43y Divide each side by '34'. x = -1.264705882y Simplifying x = -1.264705882y
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