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Simplifying 16(x + 1) = 4(4x + 1) + 12 Reorder the terms: 16(1 + x) = 4(4x + 1) + 12 (1 * 16 + x * 16) = 4(4x + 1) + 12 (16 + 16x) = 4(4x + 1) + 12 Reorder the terms: 16 + 16x = 4(1 + 4x) + 12 16 + 16x = (1 * 4 + 4x * 4) + 12 16 + 16x = (4 + 16x) + 12 Reorder the terms: 16 + 16x = 4 + 12 + 16x Combine like terms: 4 + 12 = 16 16 + 16x = 16 + 16x Add '-16' to each side of the equation. 16 + -16 + 16x = 16 + -16 + 16x Combine like terms: 16 + -16 = 0 0 + 16x = 16 + -16 + 16x 16x = 16 + -16 + 16x Combine like terms: 16 + -16 = 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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