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Simplifying 21x + 10 = 5(3x + 1) + 6x + 5 Reorder the terms: 10 + 21x = 5(3x + 1) + 6x + 5 Reorder the terms: 10 + 21x = 5(1 + 3x) + 6x + 5 10 + 21x = (1 * 5 + 3x * 5) + 6x + 5 10 + 21x = (5 + 15x) + 6x + 5 Reorder the terms: 10 + 21x = 5 + 5 + 15x + 6x Combine like terms: 5 + 5 = 10 10 + 21x = 10 + 15x + 6x Combine like terms: 15x + 6x = 21x 10 + 21x = 10 + 21x Add '-10' to each side of the equation. 10 + -10 + 21x = 10 + -10 + 21x Combine like terms: 10 + -10 = 0 0 + 21x = 10 + -10 + 21x 21x = 10 + -10 + 21x Combine like terms: 10 + -10 = 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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