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Simplifying 8(x + 4) = 2(4x + 5) + 22 Reorder the terms: 8(4 + x) = 2(4x + 5) + 22 (4 * 8 + x * 8) = 2(4x + 5) + 22 (32 + 8x) = 2(4x + 5) + 22 Reorder the terms: 32 + 8x = 2(5 + 4x) + 22 32 + 8x = (5 * 2 + 4x * 2) + 22 32 + 8x = (10 + 8x) + 22 Reorder the terms: 32 + 8x = 10 + 22 + 8x Combine like terms: 10 + 22 = 32 32 + 8x = 32 + 8x Add '-32' to each side of the equation. 32 + -32 + 8x = 32 + -32 + 8x Combine like terms: 32 + -32 = 0 0 + 8x = 32 + -32 + 8x 8x = 32 + -32 + 8x Combine like terms: 32 + -32 = 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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