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Simplifying 8x + -7 = x(A + 2B) + A + -3B Reorder the terms: -7 + 8x = x(A + 2B) + A + -3B -7 + 8x = (A * x + 2B * x) + A + -3B -7 + 8x = (xA + 2xB) + A + -3B Reorder the terms: -7 + 8x = A + -3B + xA + 2xB Solving -7 + 8x = A + -3B + xA + 2xB 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. -7 + 8x + -1xA = A + -3B + xA + -1xA + 2xB Combine like terms: xA + -1xA = 0 -7 + 8x + -1xA = A + -3B + 0 + 2xB -7 + 8x + -1xA = A + -3B + 2xB Add '-2xB' to each side of the equation. -7 + 8x + -1xA + -2xB = A + -3B + 2xB + -2xB Combine like terms: 2xB + -2xB = 0 -7 + 8x + -1xA + -2xB = A + -3B + 0 -7 + 8x + -1xA + -2xB = A + -3B Add '7' to each side of the equation. -7 + 8x + -1xA + 7 + -2xB = A + 7 + -3B Reorder the terms: -7 + 7 + 8x + -1xA + -2xB = A + 7 + -3B Combine like terms: -7 + 7 = 0 0 + 8x + -1xA + -2xB = A + 7 + -3B 8x + -1xA + -2xB = A + 7 + -3B Reorder the terms: 8x + -1xA + -2xB = 7 + A + -3B Reorder the terms: -7 + -1A + 3B + 8x + -1xA + -2xB = 7 + A + -3B + -7 + -1A + 3B Reorder the terms: -7 + -1A + 3B + 8x + -1xA + -2xB = 7 + -7 + A + -1A + -3B + 3B Combine like terms: 7 + -7 = 0 -7 + -1A + 3B + 8x + -1xA + -2xB = 0 + A + -1A + -3B + 3B -7 + -1A + 3B + 8x + -1xA + -2xB = A + -1A + -3B + 3B Combine like terms: A + -1A = 0 -7 + -1A + 3B + 8x + -1xA + -2xB = 0 + -3B + 3B -7 + -1A + 3B + 8x + -1xA + -2xB = -3B + 3B Combine like terms: -3B + 3B = 0 -7 + -1A + 3B + 8x + -1xA + -2xB = 0 The solution to this equation could not be determined.
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