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Simplifying 3(2x + 5) = 6(x + 2) + 3 Reorder the terms: 3(5 + 2x) = 6(x + 2) + 3 (5 * 3 + 2x * 3) = 6(x + 2) + 3 (15 + 6x) = 6(x + 2) + 3 Reorder the terms: 15 + 6x = 6(2 + x) + 3 15 + 6x = (2 * 6 + x * 6) + 3 15 + 6x = (12 + 6x) + 3 Reorder the terms: 15 + 6x = 12 + 3 + 6x Combine like terms: 12 + 3 = 15 15 + 6x = 15 + 6x Add '-15' to each side of the equation. 15 + -15 + 6x = 15 + -15 + 6x Combine like terms: 15 + -15 = 0 0 + 6x = 15 + -15 + 6x 6x = 15 + -15 + 6x Combine like terms: 15 + -15 = 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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