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Simplifying 6(x + 5) = 9x + 9 + -3x + 21 Reorder the terms: 6(5 + x) = 9x + 9 + -3x + 21 (5 * 6 + x * 6) = 9x + 9 + -3x + 21 (30 + 6x) = 9x + 9 + -3x + 21 Reorder the terms: 30 + 6x = 9 + 21 + 9x + -3x Combine like terms: 9 + 21 = 30 30 + 6x = 30 + 9x + -3x Combine like terms: 9x + -3x = 6x 30 + 6x = 30 + 6x Add '-30' to each side of the equation. 30 + -30 + 6x = 30 + -30 + 6x Combine like terms: 30 + -30 = 0 0 + 6x = 30 + -30 + 6x 6x = 30 + -30 + 6x Combine like terms: 30 + -30 = 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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