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Simplifying -7(-2x + y) + 5(x + -2y) = 0 (-2x * -7 + y * -7) + 5(x + -2y) = 0 (14x + -7y) + 5(x + -2y) = 0 14x + -7y + (x * 5 + -2y * 5) = 0 14x + -7y + (5x + -10y) = 0 Reorder the terms: 14x + 5x + -7y + -10y = 0 Combine like terms: 14x + 5x = 19x 19x + -7y + -10y = 0 Combine like terms: -7y + -10y = -17y 19x + -17y = 0 Solving 19x + -17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. 19x + -17y + 17y = 0 + 17y Combine like terms: -17y + 17y = 0 19x + 0 = 0 + 17y 19x = 0 + 17y Remove the zero: 19x = 17y Divide each side by '19'. x = 0.8947368421y Simplifying x = 0.8947368421y
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