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Simplifying -4(1q + x) = -3(5 + -1x) (1q * -4 + x * -4) = -3(5 + -1x) (-4q + -4x) = -3(5 + -1x) -4q + -4x = (5 * -3 + -1x * -3) -4q + -4x = (-15 + 3x) Solving -4q + -4x = -15 + 3x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4x' to each side of the equation. -4q + -4x + 4x = -15 + 3x + 4x Combine like terms: -4x + 4x = 0 -4q + 0 = -15 + 3x + 4x -4q = -15 + 3x + 4x Combine like terms: 3x + 4x = 7x -4q = -15 + 7x Divide each side by '-4'. q = 3.75 + -1.75x Simplifying q = 3.75 + -1.75x
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