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Simplifying 9(x + 5) = 3(3x + 1) + 42 Reorder the terms: 9(5 + x) = 3(3x + 1) + 42 (5 * 9 + x * 9) = 3(3x + 1) + 42 (45 + 9x) = 3(3x + 1) + 42 Reorder the terms: 45 + 9x = 3(1 + 3x) + 42 45 + 9x = (1 * 3 + 3x * 3) + 42 45 + 9x = (3 + 9x) + 42 Reorder the terms: 45 + 9x = 3 + 42 + 9x Combine like terms: 3 + 42 = 45 45 + 9x = 45 + 9x Add '-45' to each side of the equation. 45 + -45 + 9x = 45 + -45 + 9x Combine like terms: 45 + -45 = 0 0 + 9x = 45 + -45 + 9x 9x = 45 + -45 + 9x Combine like terms: 45 + -45 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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