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Simplifying 8(x + 1) = 2(4x + 1) + 6 Reorder the terms: 8(1 + x) = 2(4x + 1) + 6 (1 * 8 + x * 8) = 2(4x + 1) + 6 (8 + 8x) = 2(4x + 1) + 6 Reorder the terms: 8 + 8x = 2(1 + 4x) + 6 8 + 8x = (1 * 2 + 4x * 2) + 6 8 + 8x = (2 + 8x) + 6 Reorder the terms: 8 + 8x = 2 + 6 + 8x Combine like terms: 2 + 6 = 8 8 + 8x = 8 + 8x Add '-8' to each side of the equation. 8 + -8 + 8x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + 8x = 8 + -8 + 8x 8x = 8 + -8 + 8x Combine like terms: 8 + -8 = 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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