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Simplifying 5(x + 3) = 8x + 6 + -3x + 9 Reorder the terms: 5(3 + x) = 8x + 6 + -3x + 9 (3 * 5 + x * 5) = 8x + 6 + -3x + 9 (15 + 5x) = 8x + 6 + -3x + 9 Reorder the terms: 15 + 5x = 6 + 9 + 8x + -3x Combine like terms: 6 + 9 = 15 15 + 5x = 15 + 8x + -3x Combine like terms: 8x + -3x = 5x 15 + 5x = 15 + 5x Add '-15' to each side of the equation. 15 + -15 + 5x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 0 + 5x = 15 + -15 + 5x 5x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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