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Simplifying (45x + 57y) + -1(33x + -16y) = 0 Remove parenthesis around (45x + 57y) 45x + 57y + -1(33x + -16y) = 0 45x + 57y + (33x * -1 + -16y * -1) = 0 45x + 57y + (-33x + 16y) = 0 Reorder the terms: 45x + -33x + 57y + 16y = 0 Combine like terms: 45x + -33x = 12x 12x + 57y + 16y = 0 Combine like terms: 57y + 16y = 73y 12x + 73y = 0 Solving 12x + 73y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73y' to each side of the equation. 12x + 73y + -73y = 0 + -73y Combine like terms: 73y + -73y = 0 12x + 0 = 0 + -73y 12x = 0 + -73y Remove the zero: 12x = -73y Divide each side by '12'. x = -6.083333333y Simplifying x = -6.083333333y
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