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Simplifying (85x + -47y) + -1(61x + 17y) = 0 Remove parenthesis around (85x + -47y) 85x + -47y + -1(61x + 17y) = 0 85x + -47y + (61x * -1 + 17y * -1) = 0 85x + -47y + (-61x + -17y) = 0 Reorder the terms: 85x + -61x + -47y + -17y = 0 Combine like terms: 85x + -61x = 24x 24x + -47y + -17y = 0 Combine like terms: -47y + -17y = -64y 24x + -64y = 0 Solving 24x + -64y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y' to each side of the equation. 24x + -64y + 64y = 0 + 64y Combine like terms: -64y + 64y = 0 24x + 0 = 0 + 64y 24x = 0 + 64y Remove the zero: 24x = 64y Divide each side by '24'. x = 2.666666667y Simplifying x = 2.666666667y
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