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Simplifying 6(x + 2) = 5(x + -3) + x Reorder the terms: 6(2 + x) = 5(x + -3) + x (2 * 6 + x * 6) = 5(x + -3) + x (12 + 6x) = 5(x + -3) + x Reorder the terms: 12 + 6x = 5(-3 + x) + x 12 + 6x = (-3 * 5 + x * 5) + x 12 + 6x = (-15 + 5x) + x Combine like terms: 5x + x = 6x 12 + 6x = -15 + 6x Add '-6x' to each side of the equation. 12 + 6x + -6x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 0 = -15 + 6x + -6x 12 = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 12 = -15 + 0 12 = -15 Solving 12 = -15 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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