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Simplifying (5c + 7)(2x + -3) = -2c(c + 15) + -35 Reorder the terms: (7 + 5c)(2x + -3) = -2c(c + 15) + -35 Reorder the terms: (7 + 5c)(-3 + 2x) = -2c(c + 15) + -35 Multiply (7 + 5c) * (-3 + 2x) (7(-3 + 2x) + 5c * (-3 + 2x)) = -2c(c + 15) + -35 ((-3 * 7 + 2x * 7) + 5c * (-3 + 2x)) = -2c(c + 15) + -35 ((-21 + 14x) + 5c * (-3 + 2x)) = -2c(c + 15) + -35 (-21 + 14x + (-3 * 5c + 2x * 5c)) = -2c(c + 15) + -35 (-21 + 14x + (-15c + 10cx)) = -2c(c + 15) + -35 Reorder the terms: (-21 + -15c + 10cx + 14x) = -2c(c + 15) + -35 (-21 + -15c + 10cx + 14x) = -2c(c + 15) + -35 Reorder the terms: -21 + -15c + 10cx + 14x = -2c(15 + c) + -35 -21 + -15c + 10cx + 14x = (15 * -2c + c * -2c) + -35 -21 + -15c + 10cx + 14x = (-30c + -2c2) + -35 Reorder the terms: -21 + -15c + 10cx + 14x = -35 + -30c + -2c2 Solving -21 + -15c + 10cx + 14x = -35 + -30c + -2c2 Solving for variable 'c'. Reorder the terms: -21 + 35 + -15c + 30c + 10cx + 2c2 + 14x = -35 + -30c + -2c2 + 35 + 30c + 2c2 Combine like terms: -21 + 35 = 14 14 + -15c + 30c + 10cx + 2c2 + 14x = -35 + -30c + -2c2 + 35 + 30c + 2c2 Combine like terms: -15c + 30c = 15c 14 + 15c + 10cx + 2c2 + 14x = -35 + -30c + -2c2 + 35 + 30c + 2c2 Reorder the terms: 14 + 15c + 10cx + 2c2 + 14x = -35 + 35 + -30c + 30c + -2c2 + 2c2 Combine like terms: -35 + 35 = 0 14 + 15c + 10cx + 2c2 + 14x = 0 + -30c + 30c + -2c2 + 2c2 14 + 15c + 10cx + 2c2 + 14x = -30c + 30c + -2c2 + 2c2 Combine like terms: -30c + 30c = 0 14 + 15c + 10cx + 2c2 + 14x = 0 + -2c2 + 2c2 14 + 15c + 10cx + 2c2 + 14x = -2c2 + 2c2 Combine like terms: -2c2 + 2c2 = 0 14 + 15c + 10cx + 2c2 + 14x = 0 The solution to this equation could not be determined.
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