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Simplifying 6(x + 7) = 2(21 + 3x) Reorder the terms: 6(7 + x) = 2(21 + 3x) (7 * 6 + x * 6) = 2(21 + 3x) (42 + 6x) = 2(21 + 3x) 42 + 6x = (21 * 2 + 3x * 2) 42 + 6x = (42 + 6x) Add '-42' to each side of the equation. 42 + -42 + 6x = 42 + -42 + 6x Combine like terms: 42 + -42 = 0 0 + 6x = 42 + -42 + 6x 6x = 42 + -42 + 6x Combine like terms: 42 + -42 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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