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Simplifying -2x + 7x = 6(x + 2) + -1(x + 12) Combine like terms: -2x + 7x = 5x 5x = 6(x + 2) + -1(x + 12) Reorder the terms: 5x = 6(2 + x) + -1(x + 12) 5x = (2 * 6 + x * 6) + -1(x + 12) 5x = (12 + 6x) + -1(x + 12) Reorder the terms: 5x = 12 + 6x + -1(12 + x) 5x = 12 + 6x + (12 * -1 + x * -1) 5x = 12 + 6x + (-12 + -1x) Reorder the terms: 5x = 12 + -12 + 6x + -1x Combine like terms: 12 + -12 = 0 5x = 0 + 6x + -1x 5x = 6x + -1x Combine like terms: 6x + -1x = 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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