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Simplifying 4(2x + 8) = 12x + 20 + -4x + 12 Reorder the terms: 4(8 + 2x) = 12x + 20 + -4x + 12 (8 * 4 + 2x * 4) = 12x + 20 + -4x + 12 (32 + 8x) = 12x + 20 + -4x + 12 Reorder the terms: 32 + 8x = 20 + 12 + 12x + -4x Combine like terms: 20 + 12 = 32 32 + 8x = 32 + 12x + -4x Combine like terms: 12x + -4x = 8x 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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