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Simplifying 16(x + 2) = 4(4x + 5) + 12 Reorder the terms: 16(2 + x) = 4(4x + 5) + 12 (2 * 16 + x * 16) = 4(4x + 5) + 12 (32 + 16x) = 4(4x + 5) + 12 Reorder the terms: 32 + 16x = 4(5 + 4x) + 12 32 + 16x = (5 * 4 + 4x * 4) + 12 32 + 16x = (20 + 16x) + 12 Reorder the terms: 32 + 16x = 20 + 12 + 16x Combine like terms: 20 + 12 = 32 32 + 16x = 32 + 16x Add '-32' to each side of the equation. 32 + -32 + 16x = 32 + -32 + 16x Combine like terms: 32 + -32 = 0 0 + 16x = 32 + -32 + 16x 16x = 32 + -32 + 16x Combine like terms: 32 + -32 = 0 16x = 0 + 16x 16x = 16x Add '-16x' to each side of the equation. 16x + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 16x + -16x Combine like terms: 16x + -16x = 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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