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Simplifying 8(x + 2) = 2(4x + 5) + 6 Reorder the terms: 8(2 + x) = 2(4x + 5) + 6 (2 * 8 + x * 8) = 2(4x + 5) + 6 (16 + 8x) = 2(4x + 5) + 6 Reorder the terms: 16 + 8x = 2(5 + 4x) + 6 16 + 8x = (5 * 2 + 4x * 2) + 6 16 + 8x = (10 + 8x) + 6 Reorder the terms: 16 + 8x = 10 + 6 + 8x Combine like terms: 10 + 6 = 16 16 + 8x = 16 + 8x Add '-16' to each side of the equation. 16 + -16 + 8x = 16 + -16 + 8x Combine like terms: 16 + -16 = 0 0 + 8x = 16 + -16 + 8x 8x = 16 + -16 + 8x Combine like terms: 16 + -16 = 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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