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Simplifying 5(7 + -1c) + -47 = 25c + -6(2 + 5c) (7 * 5 + -1c * 5) + -47 = 25c + -6(2 + 5c) (35 + -5c) + -47 = 25c + -6(2 + 5c) Reorder the terms: 35 + -47 + -5c = 25c + -6(2 + 5c) Combine like terms: 35 + -47 = -12 -12 + -5c = 25c + -6(2 + 5c) -12 + -5c = 25c + (2 * -6 + 5c * -6) -12 + -5c = 25c + (-12 + -30c) Reorder the terms: -12 + -5c = -12 + 25c + -30c Combine like terms: 25c + -30c = -5c -12 + -5c = -12 + -5c Add '12' to each side of the equation. -12 + 12 + -5c = -12 + 12 + -5c Combine like terms: -12 + 12 = 0 0 + -5c = -12 + 12 + -5c -5c = -12 + 12 + -5c Combine like terms: -12 + 12 = 0 -5c = 0 + -5c -5c = -5c Add '5c' to each side of the equation. -5c + 5c = -5c + 5c Combine like terms: -5c + 5c = 0 0 = -5c + 5c Combine like terms: -5c + 5c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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