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Simplifying (2x + 7)(cx + -1) = 0 Reorder the terms: (7 + 2x)(cx + -1) = 0 Reorder the terms: (7 + 2x)(-1 + cx) = 0 Multiply (7 + 2x) * (-1 + cx) (7(-1 + cx) + 2x * (-1 + cx)) = 0 ((-1 * 7 + cx * 7) + 2x * (-1 + cx)) = 0 ((-7 + 7cx) + 2x * (-1 + cx)) = 0 (-7 + 7cx + (-1 * 2x + cx * 2x)) = 0 Reorder the terms: (-7 + 7cx + (2cx2 + -2x)) = 0 (-7 + 7cx + (2cx2 + -2x)) = 0 (-7 + 7cx + 2cx2 + -2x) = 0 Solving -7 + 7cx + 2cx2 + -2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7cx + 2cx2 + 7 + -2x = 0 + 7 Reorder the terms: -7 + 7 + 7cx + 2cx2 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7cx + 2cx2 + -2x = 0 + 7 7cx + 2cx2 + -2x = 0 + 7 Combine like terms: 0 + 7 = 7 7cx + 2cx2 + -2x = 7 Add '2x' to each side of the equation. 7cx + 2cx2 + -2x + 2x = 7 + 2x Combine like terms: -2x + 2x = 0 7cx + 2cx2 + 0 = 7 + 2x 7cx + 2cx2 = 7 + 2x Reorder the terms: -7 + 7cx + 2cx2 + -2x = 7 + 2x + -7 + -2x Reorder the terms: -7 + 7cx + 2cx2 + -2x = 7 + -7 + 2x + -2x Combine like terms: 7 + -7 = 0 -7 + 7cx + 2cx2 + -2x = 0 + 2x + -2x -7 + 7cx + 2cx2 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 7cx + 2cx2 + -2x = 0 The solution to this equation could not be determined.
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