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Simplifying 23x + 4(x + 1) = 27(x + 1) + -23 Reorder the terms: 23x + 4(1 + x) = 27(x + 1) + -23 23x + (1 * 4 + x * 4) = 27(x + 1) + -23 23x + (4 + 4x) = 27(x + 1) + -23 Reorder the terms: 4 + 23x + 4x = 27(x + 1) + -23 Combine like terms: 23x + 4x = 27x 4 + 27x = 27(x + 1) + -23 Reorder the terms: 4 + 27x = 27(1 + x) + -23 4 + 27x = (1 * 27 + x * 27) + -23 4 + 27x = (27 + 27x) + -23 Reorder the terms: 4 + 27x = 27 + -23 + 27x Combine like terms: 27 + -23 = 4 4 + 27x = 4 + 27x Add '-4' to each side of the equation. 4 + -4 + 27x = 4 + -4 + 27x Combine like terms: 4 + -4 = 0 0 + 27x = 4 + -4 + 27x 27x = 4 + -4 + 27x Combine like terms: 4 + -4 = 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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