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Simplifying 3 = A(2x + 1) + B(3x) Reorder the terms: 3 = A(1 + 2x) + B(3x) 3 = (1 * A + 2x * A) + B(3x) 3 = (1A + 2xA) + B(3x) Remove parenthesis around (3x) 3 = 1A + 2xA + B * 3x Reorder the terms for easier multiplication: 3 = 1A + 2xA + 3B * x Multiply B * x 3 = 1A + 2xA + 3xB Solving 3 = 1A + 2xA + 3xB Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1A' to each side of the equation. 3 + -1A = 1A + 2xA + -1A + 3xB Reorder the terms: 3 + -1A = 1A + -1A + 2xA + 3xB Combine like terms: 1A + -1A = 0 3 + -1A = 0 + 2xA + 3xB 3 + -1A = 2xA + 3xB Add '-2xA' to each side of the equation. 3 + -1A + -2xA = 2xA + -2xA + 3xB Combine like terms: 2xA + -2xA = 0 3 + -1A + -2xA = 0 + 3xB 3 + -1A + -2xA = 3xB Add '-3' to each side of the equation. 3 + -1A + -3 + -2xA = -3 + 3xB Reorder the terms: 3 + -3 + -1A + -2xA = -3 + 3xB Combine like terms: 3 + -3 = 0 0 + -1A + -2xA = -3 + 3xB -1A + -2xA = -3 + 3xB Reorder the terms: 3 + -1A + -2xA + -3xB = -3 + 3xB + 3 + -3xB Reorder the terms: 3 + -1A + -2xA + -3xB = -3 + 3 + 3xB + -3xB Combine like terms: -3 + 3 = 0 3 + -1A + -2xA + -3xB = 0 + 3xB + -3xB 3 + -1A + -2xA + -3xB = 3xB + -3xB Combine like terms: 3xB + -3xB = 0 3 + -1A + -2xA + -3xB = 0 The solution to this equation could not be determined.
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