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Simplifying (6x + -17y) + -1(4x + -22y) = 0 Remove parenthesis around (6x + -17y) 6x + -17y + -1(4x + -22y) = 0 6x + -17y + (4x * -1 + -22y * -1) = 0 6x + -17y + (-4x + 22y) = 0 Reorder the terms: 6x + -4x + -17y + 22y = 0 Combine like terms: 6x + -4x = 2x 2x + -17y + 22y = 0 Combine like terms: -17y + 22y = 5y 2x + 5y = 0 Solving 2x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y
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