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Simplifying 5(3x + 6) = 3(5x + 10) Reorder the terms: 5(6 + 3x) = 3(5x + 10) (6 * 5 + 3x * 5) = 3(5x + 10) (30 + 15x) = 3(5x + 10) Reorder the terms: 30 + 15x = 3(10 + 5x) 30 + 15x = (10 * 3 + 5x * 3) 30 + 15x = (30 + 15x) Add '-30' to each side of the equation. 30 + -30 + 15x = 30 + -30 + 15x Combine like terms: 30 + -30 = 0 0 + 15x = 30 + -30 + 15x 15x = 30 + -30 + 15x Combine like terms: 30 + -30 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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