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Simplifying 2(x + 6) = 9x + 5 + -7x + 7 Reorder the terms: 2(6 + x) = 9x + 5 + -7x + 7 (6 * 2 + x * 2) = 9x + 5 + -7x + 7 (12 + 2x) = 9x + 5 + -7x + 7 Reorder the terms: 12 + 2x = 5 + 7 + 9x + -7x Combine like terms: 5 + 7 = 12 12 + 2x = 12 + 9x + -7x Combine like terms: 9x + -7x = 2x 12 + 2x = 12 + 2x Add '-12' to each side of the equation. 12 + -12 + 2x = 12 + -12 + 2x Combine like terms: 12 + -12 = 0 0 + 2x = 12 + -12 + 2x 2x = 12 + -12 + 2x Combine like terms: 12 + -12 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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