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Simplifying 5(3x + 10) = 15(x + 3) + 5 Reorder the terms: 5(10 + 3x) = 15(x + 3) + 5 (10 * 5 + 3x * 5) = 15(x + 3) + 5 (50 + 15x) = 15(x + 3) + 5 Reorder the terms: 50 + 15x = 15(3 + x) + 5 50 + 15x = (3 * 15 + x * 15) + 5 50 + 15x = (45 + 15x) + 5 Reorder the terms: 50 + 15x = 45 + 5 + 15x Combine like terms: 45 + 5 = 50 50 + 15x = 50 + 15x Add '-50' to each side of the equation. 50 + -50 + 15x = 50 + -50 + 15x Combine like terms: 50 + -50 = 0 0 + 15x = 50 + -50 + 15x 15x = 50 + -50 + 15x Combine like terms: 50 + -50 = 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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