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Simplifying 3(5x + 7) + 6 = 15x + 27 Reorder the terms: 3(7 + 5x) + 6 = 15x + 27 (7 * 3 + 5x * 3) + 6 = 15x + 27 (21 + 15x) + 6 = 15x + 27 Reorder the terms: 21 + 6 + 15x = 15x + 27 Combine like terms: 21 + 6 = 27 27 + 15x = 15x + 27 Reorder the terms: 27 + 15x = 27 + 15x Add '-27' to each side of the equation. 27 + -27 + 15x = 27 + -27 + 15x Combine like terms: 27 + -27 = 0 0 + 15x = 27 + -27 + 15x 15x = 27 + -27 + 15x Combine like terms: 27 + -27 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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