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Simplifying (54x + 67y) + -1(-39x + 5y) = 0 Remove parenthesis around (54x + 67y) 54x + 67y + -1(-39x + 5y) = 0 54x + 67y + (-39x * -1 + 5y * -1) = 0 54x + 67y + (39x + -5y) = 0 Reorder the terms: 54x + 39x + 67y + -5y = 0 Combine like terms: 54x + 39x = 93x 93x + 67y + -5y = 0 Combine like terms: 67y + -5y = 62y 93x + 62y = 0 Solving 93x + 62y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62y' to each side of the equation. 93x + 62y + -62y = 0 + -62y Combine like terms: 62y + -62y = 0 93x + 0 = 0 + -62y 93x = 0 + -62y Remove the zero: 93x = -62y Divide each side by '93'. x = -0.6666666667y Simplifying x = -0.6666666667y
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