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Simplifying q + 7x = 5q + -1 Reorder the terms: q + 7x = -1 + 5q Solving q + 7x = -1 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. q + -5q + 7x = -1 + 5q + -5q Combine like terms: q + -5q = -4q -4q + 7x = -1 + 5q + -5q Combine like terms: 5q + -5q = 0 -4q + 7x = -1 + 0 -4q + 7x = -1 Add '-7x' to each side of the equation. -4q + 7x + -7x = -1 + -7x Combine like terms: 7x + -7x = 0 -4q + 0 = -1 + -7x -4q = -1 + -7x Divide each side by '-4'. q = 0.25 + 1.75x Simplifying q = 0.25 + 1.75x
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