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Simplifying 2(x + 8) = 5x + 9 + -3x + 7 Reorder the terms: 2(8 + x) = 5x + 9 + -3x + 7 (8 * 2 + x * 2) = 5x + 9 + -3x + 7 (16 + 2x) = 5x + 9 + -3x + 7 Reorder the terms: 16 + 2x = 9 + 7 + 5x + -3x Combine like terms: 9 + 7 = 16 16 + 2x = 16 + 5x + -3x Combine like terms: 5x + -3x = 2x 16 + 2x = 16 + 2x Add '-16' to each side of the equation. 16 + -16 + 2x = 16 + -16 + 2x Combine like terms: 16 + -16 = 0 0 + 2x = 16 + -16 + 2x 2x = 16 + -16 + 2x Combine like terms: 16 + -16 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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