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Simplifying (82x + -55y) + -1(46x + 36y) = 0 Remove parenthesis around (82x + -55y) 82x + -55y + -1(46x + 36y) = 0 82x + -55y + (46x * -1 + 36y * -1) = 0 82x + -55y + (-46x + -36y) = 0 Reorder the terms: 82x + -46x + -55y + -36y = 0 Combine like terms: 82x + -46x = 36x 36x + -55y + -36y = 0 Combine like terms: -55y + -36y = -91y 36x + -91y = 0 Solving 36x + -91y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '91y' to each side of the equation. 36x + -91y + 91y = 0 + 91y Combine like terms: -91y + 91y = 0 36x + 0 = 0 + 91y 36x = 0 + 91y Remove the zero: 36x = 91y Divide each side by '36'. x = 2.527777778y Simplifying x = 2.527777778y
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