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Simplifying 5x + -2(x + -6) = 3(x + 1) + 2 Reorder the terms: 5x + -2(-6 + x) = 3(x + 1) + 2 5x + (-6 * -2 + x * -2) = 3(x + 1) + 2 5x + (12 + -2x) = 3(x + 1) + 2 Reorder the terms: 12 + 5x + -2x = 3(x + 1) + 2 Combine like terms: 5x + -2x = 3x 12 + 3x = 3(x + 1) + 2 Reorder the terms: 12 + 3x = 3(1 + x) + 2 12 + 3x = (1 * 3 + x * 3) + 2 12 + 3x = (3 + 3x) + 2 Reorder the terms: 12 + 3x = 3 + 2 + 3x Combine like terms: 3 + 2 = 5 12 + 3x = 5 + 3x Add '-3x' to each side of the equation. 12 + 3x + -3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 0 = 5 + 3x + -3x 12 = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 12 = 5 + 0 12 = 5 Solving 12 = 5 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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