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Simplifying 5(x + 3) + 3x = 3(x + 5) + 5x Reorder the terms: 5(3 + x) + 3x = 3(x + 5) + 5x (3 * 5 + x * 5) + 3x = 3(x + 5) + 5x (15 + 5x) + 3x = 3(x + 5) + 5x Combine like terms: 5x + 3x = 8x 15 + 8x = 3(x + 5) + 5x Reorder the terms: 15 + 8x = 3(5 + x) + 5x 15 + 8x = (5 * 3 + x * 3) + 5x 15 + 8x = (15 + 3x) + 5x Combine like terms: 3x + 5x = 8x 15 + 8x = 15 + 8x Add '-15' to each side of the equation. 15 + -15 + 8x = 15 + -15 + 8x Combine like terms: 15 + -15 = 0 0 + 8x = 15 + -15 + 8x 8x = 15 + -15 + 8x Combine like terms: 15 + -15 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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