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Simplifying 11x + 61 = Ax + Bx + 5A + 8A Reorder the terms: 61 + 11x = Ax + Bx + 5A + 8A Reorder the terms: 61 + 11x = 5A + 8A + xA + xB Combine like terms: 5A + 8A = 13A 61 + 11x = 13A + xA + xB Solving 61 + 11x = 13A + 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. 61 + 11x + -1xA = 13A + xA + -1xA + xB Combine like terms: xA + -1xA = 0 61 + 11x + -1xA = 13A + 0 + xB 61 + 11x + -1xA = 13A + xB Add '-1xB' to each side of the equation. 61 + 11x + -1xA + -1xB = 13A + xB + -1xB Combine like terms: xB + -1xB = 0 61 + 11x + -1xA + -1xB = 13A + 0 61 + 11x + -1xA + -1xB = 13A Add '-61' to each side of the equation. 61 + 11x + -1xA + -61 + -1xB = -61 + 13A Reorder the terms: 61 + -61 + 11x + -1xA + -1xB = -61 + 13A Combine like terms: 61 + -61 = 0 0 + 11x + -1xA + -1xB = -61 + 13A 11x + -1xA + -1xB = -61 + 13A Reorder the terms: 61 + -13A + 11x + -1xA + -1xB = -61 + 13A + 61 + -13A Reorder the terms: 61 + -13A + 11x + -1xA + -1xB = -61 + 61 + 13A + -13A Combine like terms: -61 + 61 = 0 61 + -13A + 11x + -1xA + -1xB = 0 + 13A + -13A 61 + -13A + 11x + -1xA + -1xB = 13A + -13A Combine like terms: 13A + -13A = 0 61 + -13A + 11x + -1xA + -1xB = 0 The solution to this equation could not be determined.
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