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Simplifying 7x + 12 = 9x + 2(6 + -1x) Reorder the terms: 12 + 7x = 9x + 2(6 + -1x) 12 + 7x = 9x + (6 * 2 + -1x * 2) 12 + 7x = 9x + (12 + -2x) Reorder the terms: 12 + 7x = 12 + 9x + -2x Combine like terms: 9x + -2x = 7x 12 + 7x = 12 + 7x Add '-12' to each side of the equation. 12 + -12 + 7x = 12 + -12 + 7x Combine like terms: 12 + -12 = 0 0 + 7x = 12 + -12 + 7x 7x = 12 + -12 + 7x Combine like terms: 12 + -12 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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