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Simplifying 6(x + 1) = 2(3x + 7) + -8 Reorder the terms: 6(1 + x) = 2(3x + 7) + -8 (1 * 6 + x * 6) = 2(3x + 7) + -8 (6 + 6x) = 2(3x + 7) + -8 Reorder the terms: 6 + 6x = 2(7 + 3x) + -8 6 + 6x = (7 * 2 + 3x * 2) + -8 6 + 6x = (14 + 6x) + -8 Reorder the terms: 6 + 6x = 14 + -8 + 6x Combine like terms: 14 + -8 = 6 6 + 6x = 6 + 6x Add '-6' to each side of the equation. 6 + -6 + 6x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 0 + 6x = 6 + -6 + 6x 6x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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