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Simplifying 6 + 5(x + 9) = 6 + (5x + 45) Reorder the terms: 6 + 5(9 + x) = 6 + (5x + 45) 6 + (9 * 5 + x * 5) = 6 + (5x + 45) 6 + (45 + 5x) = 6 + (5x + 45) Combine like terms: 6 + 45 = 51 51 + 5x = 6 + (5x + 45) Reorder the terms: 51 + 5x = 6 + (45 + 5x) Remove parenthesis around (45 + 5x) 51 + 5x = 6 + 45 + 5x Combine like terms: 6 + 45 = 51 51 + 5x = 51 + 5x Add '-51' to each side of the equation. 51 + -51 + 5x = 51 + -51 + 5x Combine like terms: 51 + -51 = 0 0 + 5x = 51 + -51 + 5x 5x = 51 + -51 + 5x Combine like terms: 51 + -51 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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