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Simplifying 2(3x + 9) = 5(x + 3) + x + 3 Reorder the terms: 2(9 + 3x) = 5(x + 3) + x + 3 (9 * 2 + 3x * 2) = 5(x + 3) + x + 3 (18 + 6x) = 5(x + 3) + x + 3 Reorder the terms: 18 + 6x = 5(3 + x) + x + 3 18 + 6x = (3 * 5 + x * 5) + x + 3 18 + 6x = (15 + 5x) + x + 3 Reorder the terms: 18 + 6x = 15 + 3 + 5x + x Combine like terms: 15 + 3 = 18 18 + 6x = 18 + 5x + x Combine like terms: 5x + x = 6x 18 + 6x = 18 + 6x Add '-18' to each side of the equation. 18 + -18 + 6x = 18 + -18 + 6x Combine like terms: 18 + -18 = 0 0 + 6x = 18 + -18 + 6x 6x = 18 + -18 + 6x Combine like terms: 18 + -18 = 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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