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Simplifying (55x + 45y) + -1(33x + -15y) = 0 Remove parenthesis around (55x + 45y) 55x + 45y + -1(33x + -15y) = 0 55x + 45y + (33x * -1 + -15y * -1) = 0 55x + 45y + (-33x + 15y) = 0 Reorder the terms: 55x + -33x + 45y + 15y = 0 Combine like terms: 55x + -33x = 22x 22x + 45y + 15y = 0 Combine like terms: 45y + 15y = 60y 22x + 60y = 0 Solving 22x + 60y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60y' to each side of the equation. 22x + 60y + -60y = 0 + -60y Combine like terms: 60y + -60y = 0 22x + 0 = 0 + -60y 22x = 0 + -60y Remove the zero: 22x = -60y Divide each side by '22'. x = -2.727272727y Simplifying x = -2.727272727y
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