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Simplifying 40 + -1(3c + 4) = 4(c + 5) + cx Reorder the terms: 40 + -1(4 + 3c) = 4(c + 5) + cx 40 + (4 * -1 + 3c * -1) = 4(c + 5) + cx 40 + (-4 + -3c) = 4(c + 5) + cx Combine like terms: 40 + -4 = 36 36 + -3c = 4(c + 5) + cx Reorder the terms: 36 + -3c = 4(5 + c) + cx 36 + -3c = (5 * 4 + c * 4) + cx 36 + -3c = (20 + 4c) + cx Solving 36 + -3c = 20 + 4c + cx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 36 + -3c + -4c = 20 + 4c + -4c + cx Combine like terms: -3c + -4c = -7c 36 + -7c = 20 + 4c + -4c + cx Combine like terms: 4c + -4c = 0 36 + -7c = 20 + 0 + cx 36 + -7c = 20 + cx Add '-1cx' to each side of the equation. 36 + -7c + -1cx = 20 + cx + -1cx Combine like terms: cx + -1cx = 0 36 + -7c + -1cx = 20 + 0 36 + -7c + -1cx = 20 Add '-36' to each side of the equation. 36 + -7c + -36 + -1cx = 20 + -36 Reorder the terms: 36 + -36 + -7c + -1cx = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -7c + -1cx = 20 + -36 -7c + -1cx = 20 + -36 Combine like terms: 20 + -36 = -16 -7c + -1cx = -16 Reorder the terms: 16 + -7c + -1cx = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -7c + -1cx = 0 The solution to this equation could not be determined.
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