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Simplifying (58x + 84y) + -1(-38x + 5y) = 0 Remove parenthesis around (58x + 84y) 58x + 84y + -1(-38x + 5y) = 0 58x + 84y + (-38x * -1 + 5y * -1) = 0 58x + 84y + (38x + -5y) = 0 Reorder the terms: 58x + 38x + 84y + -5y = 0 Combine like terms: 58x + 38x = 96x 96x + 84y + -5y = 0 Combine like terms: 84y + -5y = 79y 96x + 79y = 0 Solving 96x + 79y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79y' to each side of the equation. 96x + 79y + -79y = 0 + -79y Combine like terms: 79y + -79y = 0 96x + 0 = 0 + -79y 96x = 0 + -79y Remove the zero: 96x = -79y Divide each side by '96'. x = -0.8229166667y Simplifying x = -0.8229166667y
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