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Simplifying A(x + 1) + b(x + -2) = 16 Reorder the terms: A(1 + x) + b(x + -2) = 16 (1 * A + x * A) + b(x + -2) = 16 (1A + xA) + b(x + -2) = 16 Reorder the terms: 1A + xA + b(-2 + x) = 16 1A + xA + (-2 * b + x * b) = 16 1A + xA + (-2b + bx) = 16 Reorder the terms: 1A + -2b + bx + xA = 16 Solving 1A + -2b + bx + xA = 16 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '2b' to each side of the equation. 1A + -2b + bx + 2b + xA = 16 + 2b Reorder the terms: 1A + -2b + 2b + bx + xA = 16 + 2b Combine like terms: -2b + 2b = 0 1A + 0 + bx + xA = 16 + 2b 1A + bx + xA = 16 + 2b Add '-1bx' to each side of the equation. 1A + bx + -1bx + xA = 16 + 2b + -1bx Combine like terms: bx + -1bx = 0 1A + 0 + xA = 16 + 2b + -1bx 1A + xA = 16 + 2b + -1bx Reorder the terms: -16 + 1A + -2b + bx + xA = 16 + 2b + -1bx + -16 + -2b + bx Reorder the terms: -16 + 1A + -2b + bx + xA = 16 + -16 + 2b + -2b + -1bx + bx Combine like terms: 16 + -16 = 0 -16 + 1A + -2b + bx + xA = 0 + 2b + -2b + -1bx + bx -16 + 1A + -2b + bx + xA = 2b + -2b + -1bx + bx Combine like terms: 2b + -2b = 0 -16 + 1A + -2b + bx + xA = 0 + -1bx + bx -16 + 1A + -2b + bx + xA = -1bx + bx Combine like terms: -1bx + bx = 0 -16 + 1A + -2b + bx + xA = 0 The solution to this equation could not be determined.
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