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Simplifying 2(x + 3) + 8 = 7x + -5(x + -6) Reorder the terms: 2(3 + x) + 8 = 7x + -5(x + -6) (3 * 2 + x * 2) + 8 = 7x + -5(x + -6) (6 + 2x) + 8 = 7x + -5(x + -6) Reorder the terms: 6 + 8 + 2x = 7x + -5(x + -6) Combine like terms: 6 + 8 = 14 14 + 2x = 7x + -5(x + -6) Reorder the terms: 14 + 2x = 7x + -5(-6 + x) 14 + 2x = 7x + (-6 * -5 + x * -5) 14 + 2x = 7x + (30 + -5x) Reorder the terms: 14 + 2x = 30 + 7x + -5x Combine like terms: 7x + -5x = 2x 14 + 2x = 30 + 2x Add '-2x' to each side of the equation. 14 + 2x + -2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 0 = 30 + 2x + -2x 14 = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 14 = 30 + 0 14 = 30 Solving 14 = 30 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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