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Simplifying 3(x2 + 2cx) + -1b(2x + 1) + c = 3x2 + -2x + 1 Reorder the terms: 3(2cx + x2) + -1b(2x + 1) + c = 3x2 + -2x + 1 (2cx * 3 + x2 * 3) + -1b(2x + 1) + c = 3x2 + -2x + 1 (6cx + 3x2) + -1b(2x + 1) + c = 3x2 + -2x + 1 Reorder the terms: 6cx + 3x2 + -1b(1 + 2x) + c = 3x2 + -2x + 1 6cx + 3x2 + (1 * -1b + 2x * -1b) + c = 3x2 + -2x + 1 6cx + 3x2 + (-1b + -2bx) + c = 3x2 + -2x + 1 Reorder the terms: -1b + -2bx + c + 6cx + 3x2 = 3x2 + -2x + 1 Reorder the terms: -1b + -2bx + c + 6cx + 3x2 = 1 + -2x + 3x2 Add '-3x2' to each side of the equation. -1b + -2bx + c + 6cx + 3x2 + -3x2 = 1 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1b + -2bx + c + 6cx + 0 = 1 + -2x + 3x2 + -3x2 -1b + -2bx + c + 6cx = 1 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1b + -2bx + c + 6cx = 1 + -2x + 0 -1b + -2bx + c + 6cx = 1 + -2x Solving -1b + -2bx + c + 6cx = 1 + -2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. -1b + -2bx + c + -1c + 6cx = 1 + -1c + -2x Combine like terms: c + -1c = 0 -1b + -2bx + 0 + 6cx = 1 + -1c + -2x -1b + -2bx + 6cx = 1 + -1c + -2x Add '-6cx' to each side of the equation. -1b + -2bx + 6cx + -6cx = 1 + -1c + -6cx + -2x Combine like terms: 6cx + -6cx = 0 -1b + -2bx + 0 = 1 + -1c + -6cx + -2x -1b + -2bx = 1 + -1c + -6cx + -2x Reorder the terms: -1 + -1b + -2bx + c + 6cx + 2x = 1 + -1c + -6cx + -2x + -1 + c + 6cx + 2x Reorder the terms: -1 + -1b + -2bx + c + 6cx + 2x = 1 + -1 + -1c + c + -6cx + 6cx + -2x + 2x Combine like terms: 1 + -1 = 0 -1 + -1b + -2bx + c + 6cx + 2x = 0 + -1c + c + -6cx + 6cx + -2x + 2x -1 + -1b + -2bx + c + 6cx + 2x = -1c + c + -6cx + 6cx + -2x + 2x Combine like terms: -1c + c = 0 -1 + -1b + -2bx + c + 6cx + 2x = 0 + -6cx + 6cx + -2x + 2x -1 + -1b + -2bx + c + 6cx + 2x = -6cx + 6cx + -2x + 2x Combine like terms: -6cx + 6cx = 0 -1 + -1b + -2bx + c + 6cx + 2x = 0 + -2x + 2x -1 + -1b + -2bx + c + 6cx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -1 + -1b + -2bx + c + 6cx + 2x = 0 The solution to this equation could not be determined.
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