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Simplifying 13x + 14(x + 1) = 27(x + 1) + -13 Reorder the terms: 13x + 14(1 + x) = 27(x + 1) + -13 13x + (1 * 14 + x * 14) = 27(x + 1) + -13 13x + (14 + 14x) = 27(x + 1) + -13 Reorder the terms: 14 + 13x + 14x = 27(x + 1) + -13 Combine like terms: 13x + 14x = 27x 14 + 27x = 27(x + 1) + -13 Reorder the terms: 14 + 27x = 27(1 + x) + -13 14 + 27x = (1 * 27 + x * 27) + -13 14 + 27x = (27 + 27x) + -13 Reorder the terms: 14 + 27x = 27 + -13 + 27x Combine like terms: 27 + -13 = 14 14 + 27x = 14 + 27x Add '-14' to each side of the equation. 14 + -14 + 27x = 14 + -14 + 27x Combine like terms: 14 + -14 = 0 0 + 27x = 14 + -14 + 27x 27x = 14 + -14 + 27x Combine like terms: 14 + -14 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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