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Simplifying c = (3x + -1)(2 + -5x) + (3x + 4) * x Reorder the terms: c = (-1 + 3x)(2 + -5x) + (3x + 4) * x Multiply (-1 + 3x) * (2 + -5x) c = (-1(2 + -5x) + 3x * (2 + -5x)) + (3x + 4) * x c = ((2 * -1 + -5x * -1) + 3x * (2 + -5x)) + (3x + 4) * x c = ((-2 + 5x) + 3x * (2 + -5x)) + (3x + 4) * x c = (-2 + 5x + (2 * 3x + -5x * 3x)) + (3x + 4) * x c = (-2 + 5x + (6x + -15x2)) + (3x + 4) * x Combine like terms: 5x + 6x = 11x c = (-2 + 11x + -15x2) + (3x + 4) * x Reorder the terms: c = -2 + 11x + -15x2 + (4 + 3x) * x Reorder the terms for easier multiplication: c = -2 + 11x + -15x2 + x(4 + 3x) c = -2 + 11x + -15x2 + (4 * x + 3x * x) c = -2 + 11x + -15x2 + (4x + 3x2) Reorder the terms: c = -2 + 11x + 4x + -15x2 + 3x2 Combine like terms: 11x + 4x = 15x c = -2 + 15x + -15x2 + 3x2 Combine like terms: -15x2 + 3x2 = -12x2 c = -2 + 15x + -12x2 Solving c = -2 + 15x + -12x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Simplifying c = -2 + 15x + -12x2
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