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Simplifying 5(2x + 3) = 3(x + 2) + 7x + 9 Reorder the terms: 5(3 + 2x) = 3(x + 2) + 7x + 9 (3 * 5 + 2x * 5) = 3(x + 2) + 7x + 9 (15 + 10x) = 3(x + 2) + 7x + 9 Reorder the terms: 15 + 10x = 3(2 + x) + 7x + 9 15 + 10x = (2 * 3 + x * 3) + 7x + 9 15 + 10x = (6 + 3x) + 7x + 9 Reorder the terms: 15 + 10x = 6 + 9 + 3x + 7x Combine like terms: 6 + 9 = 15 15 + 10x = 15 + 3x + 7x Combine like terms: 3x + 7x = 10x 15 + 10x = 15 + 10x Add '-15' to each side of the equation. 15 + -15 + 10x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 0 + 10x = 15 + -15 + 10x 10x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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