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Simplifying 4(x + 8) = 2x + 2(x + 16) Reorder the terms: 4(8 + x) = 2x + 2(x + 16) (8 * 4 + x * 4) = 2x + 2(x + 16) (32 + 4x) = 2x + 2(x + 16) Reorder the terms: 32 + 4x = 2x + 2(16 + x) 32 + 4x = 2x + (16 * 2 + x * 2) 32 + 4x = 2x + (32 + 2x) Reorder the terms: 32 + 4x = 32 + 2x + 2x Combine like terms: 2x + 2x = 4x 32 + 4x = 32 + 4x Add '-32' to each side of the equation. 32 + -32 + 4x = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 0 + 4x = 32 + -32 + 4x 4x = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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