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Simplifying 18x + 11 = 2(6x + 2) + 6x + 7 Reorder the terms: 11 + 18x = 2(6x + 2) + 6x + 7 Reorder the terms: 11 + 18x = 2(2 + 6x) + 6x + 7 11 + 18x = (2 * 2 + 6x * 2) + 6x + 7 11 + 18x = (4 + 12x) + 6x + 7 Reorder the terms: 11 + 18x = 4 + 7 + 12x + 6x Combine like terms: 4 + 7 = 11 11 + 18x = 11 + 12x + 6x Combine like terms: 12x + 6x = 18x 11 + 18x = 11 + 18x Add '-11' to each side of the equation. 11 + -11 + 18x = 11 + -11 + 18x Combine like terms: 11 + -11 = 0 0 + 18x = 11 + -11 + 18x 18x = 11 + -11 + 18x Combine like terms: 11 + -11 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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