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Simplifying 14x + 7(x + 1) = 21(x + 1) + -14 Reorder the terms: 14x + 7(1 + x) = 21(x + 1) + -14 14x + (1 * 7 + x * 7) = 21(x + 1) + -14 14x + (7 + 7x) = 21(x + 1) + -14 Reorder the terms: 7 + 14x + 7x = 21(x + 1) + -14 Combine like terms: 14x + 7x = 21x 7 + 21x = 21(x + 1) + -14 Reorder the terms: 7 + 21x = 21(1 + x) + -14 7 + 21x = (1 * 21 + x * 21) + -14 7 + 21x = (21 + 21x) + -14 Reorder the terms: 7 + 21x = 21 + -14 + 21x Combine like terms: 21 + -14 = 7 7 + 21x = 7 + 21x Add '-7' to each side of the equation. 7 + -7 + 21x = 7 + -7 + 21x Combine like terms: 7 + -7 = 0 0 + 21x = 7 + -7 + 21x 21x = 7 + -7 + 21x Combine like terms: 7 + -7 = 0 21x = 0 + 21x 21x = 21x Add '-21x' to each side of the equation. 21x + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 0 = 21x + -21x Combine like terms: 21x + -21x = 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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