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Simplifying 27x + 7 = 3(7x + 1) + 6x + 4 Reorder the terms: 7 + 27x = 3(7x + 1) + 6x + 4 Reorder the terms: 7 + 27x = 3(1 + 7x) + 6x + 4 7 + 27x = (1 * 3 + 7x * 3) + 6x + 4 7 + 27x = (3 + 21x) + 6x + 4 Reorder the terms: 7 + 27x = 3 + 4 + 21x + 6x Combine like terms: 3 + 4 = 7 7 + 27x = 7 + 21x + 6x Combine like terms: 21x + 6x = 27x 7 + 27x = 7 + 27x Add '-7' to each side of the equation. 7 + -7 + 27x = 7 + -7 + 27x Combine like terms: 7 + -7 = 0 0 + 27x = 7 + -7 + 27x 27x = 7 + -7 + 27x Combine like terms: 7 + -7 = 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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