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Simplifying (48X + 79y) + -1(39x + 14y) = 0 Remove parenthesis around (48X + 79y) 48X + 79y + -1(39x + 14y) = 0 48X + 79y + (39x * -1 + 14y * -1) = 0 48X + 79y + (-39x + -14y) = 0 Reorder the terms: 48X + -39x + 79y + -14y = 0 Combine like terms: 79y + -14y = 65y 48X + -39x + 65y = 0 Solving 48X + -39x + 65y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '39x' to each side of the equation. 48X + -39x + 39x + 65y = 0 + 39x Combine like terms: -39x + 39x = 0 48X + 0 + 65y = 0 + 39x 48X + 65y = 0 + 39x Remove the zero: 48X + 65y = 39x Add '-65y' to each side of the equation. 48X + 65y + -65y = 39x + -65y Combine like terms: 65y + -65y = 0 48X + 0 = 39x + -65y 48X = 39x + -65y Divide each side by '48'. X = 0.8125x + -1.354166667y Simplifying X = 0.8125x + -1.354166667y
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