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Simplifying 4(x + 1) = 2(2x + 6) + -8 Reorder the terms: 4(1 + x) = 2(2x + 6) + -8 (1 * 4 + x * 4) = 2(2x + 6) + -8 (4 + 4x) = 2(2x + 6) + -8 Reorder the terms: 4 + 4x = 2(6 + 2x) + -8 4 + 4x = (6 * 2 + 2x * 2) + -8 4 + 4x = (12 + 4x) + -8 Reorder the terms: 4 + 4x = 12 + -8 + 4x Combine like terms: 12 + -8 = 4 4 + 4x = 4 + 4x Add '-4' to each side of the equation. 4 + -4 + 4x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + 4x = 4 + -4 + 4x 4x = 4 + -4 + 4x Combine like terms: 4 + -4 = 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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