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Simplifying Ax + -2A + Bx + 3B = x + 7 Reorder the terms: -2A + 3B + xA + xB = x + 7 Reorder the terms: -2A + 3B + xA + xB = 7 + x Solving -2A + 3B + xA + xB = 7 + x Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3B' to each side of the equation. -2A + 3B + xA + -3B + xB = 7 + -3B + x Reorder the terms: -2A + 3B + -3B + xA + xB = 7 + -3B + x Combine like terms: 3B + -3B = 0 -2A + 0 + xA + xB = 7 + -3B + x -2A + xA + xB = 7 + -3B + x Add '-1xB' to each side of the equation. -2A + xA + xB + -1xB = 7 + -3B + x + -1xB Combine like terms: xB + -1xB = 0 -2A + xA + 0 = 7 + -3B + x + -1xB -2A + xA = 7 + -3B + x + -1xB Reorder the terms: -7 + -2A + 3B + -1x + xA + xB = 7 + -3B + x + -1xB + -7 + 3B + -1x + xB Reorder the terms: -7 + -2A + 3B + -1x + xA + xB = 7 + -7 + -3B + 3B + x + -1x + -1xB + xB Combine like terms: 7 + -7 = 0 -7 + -2A + 3B + -1x + xA + xB = 0 + -3B + 3B + x + -1x + -1xB + xB -7 + -2A + 3B + -1x + xA + xB = -3B + 3B + x + -1x + -1xB + xB Combine like terms: -3B + 3B = 0 -7 + -2A + 3B + -1x + xA + xB = 0 + x + -1x + -1xB + xB -7 + -2A + 3B + -1x + xA + xB = x + -1x + -1xB + xB Combine like terms: x + -1x = 0 -7 + -2A + 3B + -1x + xA + xB = 0 + -1xB + xB -7 + -2A + 3B + -1x + xA + xB = -1xB + xB Combine like terms: -1xB + xB = 0 -7 + -2A + 3B + -1x + xA + xB = 0 The solution to this equation could not be determined.
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