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