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Simplifying 6(x + 4) = 3(2x + 5) + 9 Reorder the terms: 6(4 + x) = 3(2x + 5) + 9 (4 * 6 + x * 6) = 3(2x + 5) + 9 (24 + 6x) = 3(2x + 5) + 9 Reorder the terms: 24 + 6x = 3(5 + 2x) + 9 24 + 6x = (5 * 3 + 2x * 3) + 9 24 + 6x = (15 + 6x) + 9 Reorder the terms: 24 + 6x = 15 + 9 + 6x Combine like terms: 15 + 9 = 24 24 + 6x = 24 + 6x Add '-24' to each side of the equation. 24 + -24 + 6x = 24 + -24 + 6x Combine like terms: 24 + -24 = 0 0 + 6x = 24 + -24 + 6x 6x = 24 + -24 + 6x Combine like terms: 24 + -24 = 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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