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Simplifying 7x + -5 = Ax + A + Bx + -2B Reorder the terms: -5 + 7x = Ax + A + Bx + -2B Reorder the terms: -5 + 7x = A + -2B + xA + xB Solving -5 + 7x = A + -2B + xA + xB Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xA' to each side of the equation. -5 + 7x + -1xA = A + -2B + xA + -1xA + xB Combine like terms: xA + -1xA = 0 -5 + 7x + -1xA = A + -2B + 0 + xB -5 + 7x + -1xA = A + -2B + xB Add '-1xB' to each side of the equation. -5 + 7x + -1xA + -1xB = A + -2B + xB + -1xB Combine like terms: xB + -1xB = 0 -5 + 7x + -1xA + -1xB = A + -2B + 0 -5 + 7x + -1xA + -1xB = A + -2B Add '5' to each side of the equation. -5 + 7x + -1xA + 5 + -1xB = A + 5 + -2B Reorder the terms: -5 + 5 + 7x + -1xA + -1xB = A + 5 + -2B Combine like terms: -5 + 5 = 0 0 + 7x + -1xA + -1xB = A + 5 + -2B 7x + -1xA + -1xB = A + 5 + -2B Reorder the terms: 7x + -1xA + -1xB = 5 + A + -2B Reorder the terms: -5 + -1A + 2B + 7x + -1xA + -1xB = 5 + A + -2B + -5 + -1A + 2B Reorder the terms: -5 + -1A + 2B + 7x + -1xA + -1xB = 5 + -5 + A + -1A + -2B + 2B Combine like terms: 5 + -5 = 0 -5 + -1A + 2B + 7x + -1xA + -1xB = 0 + A + -1A + -2B + 2B -5 + -1A + 2B + 7x + -1xA + -1xB = A + -1A + -2B + 2B Combine like terms: A + -1A = 0 -5 + -1A + 2B + 7x + -1xA + -1xB = 0 + -2B + 2B -5 + -1A + 2B + 7x + -1xA + -1xB = -2B + 2B Combine like terms: -2B + 2B = 0 -5 + -1A + 2B + 7x + -1xA + -1xB = 0 The solution to this equation could not be determined.
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