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Simplifying 6(x + 9) = 9x + 9 + -3x + 45 Reorder the terms: 6(9 + x) = 9x + 9 + -3x + 45 (9 * 6 + x * 6) = 9x + 9 + -3x + 45 (54 + 6x) = 9x + 9 + -3x + 45 Reorder the terms: 54 + 6x = 9 + 45 + 9x + -3x Combine like terms: 9 + 45 = 54 54 + 6x = 54 + 9x + -3x Combine like terms: 9x + -3x = 6x 54 + 6x = 54 + 6x Add '-54' to each side of the equation. 54 + -54 + 6x = 54 + -54 + 6x Combine like terms: 54 + -54 = 0 0 + 6x = 54 + -54 + 6x 6x = 54 + -54 + 6x Combine like terms: 54 + -54 = 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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