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Simplifying 3(x + 5) = 8x + 7 + -5x + 8 Reorder the terms: 3(5 + x) = 8x + 7 + -5x + 8 (5 * 3 + x * 3) = 8x + 7 + -5x + 8 (15 + 3x) = 8x + 7 + -5x + 8 Reorder the terms: 15 + 3x = 7 + 8 + 8x + -5x Combine like terms: 7 + 8 = 15 15 + 3x = 15 + 8x + -5x Combine like terms: 8x + -5x = 3x 15 + 3x = 15 + 3x Add '-15' to each side of the equation. 15 + -15 + 3x = 15 + -15 + 3x Combine like terms: 15 + -15 = 0 0 + 3x = 15 + -15 + 3x 3x = 15 + -15 + 3x Combine like terms: 15 + -15 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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