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Simplifying 7x + -2(x + -6) = 5(x + 1) + 6 Reorder the terms: 7x + -2(-6 + x) = 5(x + 1) + 6 7x + (-6 * -2 + x * -2) = 5(x + 1) + 6 7x + (12 + -2x) = 5(x + 1) + 6 Reorder the terms: 12 + 7x + -2x = 5(x + 1) + 6 Combine like terms: 7x + -2x = 5x 12 + 5x = 5(x + 1) + 6 Reorder the terms: 12 + 5x = 5(1 + x) + 6 12 + 5x = (1 * 5 + x * 5) + 6 12 + 5x = (5 + 5x) + 6 Reorder the terms: 12 + 5x = 5 + 6 + 5x Combine like terms: 5 + 6 = 11 12 + 5x = 11 + 5x Add '-5x' to each side of the equation. 12 + 5x + -5x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 0 = 11 + 5x + -5x 12 = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 12 = 11 + 0 12 = 11 Solving 12 = 11 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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