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Simplifying (46x + 51y) + (44x + -16y) = 0 Remove parenthesis around (46x + 51y) 46x + 51y + (44x + -16y) = 0 Remove parenthesis around (44x + -16y) 46x + 51y + 44x + -16y = 0 Reorder the terms: 46x + 44x + 51y + -16y = 0 Combine like terms: 46x + 44x = 90x 90x + 51y + -16y = 0 Combine like terms: 51y + -16y = 35y 90x + 35y = 0 Solving 90x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. 90x + 35y + -35y = 0 + -35y Combine like terms: 35y + -35y = 0 90x + 0 = 0 + -35y 90x = 0 + -35y Remove the zero: 90x = -35y Divide each side by '90'. x = -0.3888888889y Simplifying x = -0.3888888889y
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