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Simplifying 5(x + 6) = 5(x + -6) + 5 Reorder the terms: 5(6 + x) = 5(x + -6) + 5 (6 * 5 + x * 5) = 5(x + -6) + 5 (30 + 5x) = 5(x + -6) + 5 Reorder the terms: 30 + 5x = 5(-6 + x) + 5 30 + 5x = (-6 * 5 + x * 5) + 5 30 + 5x = (-30 + 5x) + 5 Reorder the terms: 30 + 5x = -30 + 5 + 5x Combine like terms: -30 + 5 = -25 30 + 5x = -25 + 5x Add '-5x' to each side of the equation. 30 + 5x + -5x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 0 = -25 + 5x + -5x 30 = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 30 = -25 + 0 30 = -25 Solving 30 = -25 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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