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Simplifying 2(x + 6) + 3 = 7x + -5(x + -5) Reorder the terms: 2(6 + x) + 3 = 7x + -5(x + -5) (6 * 2 + x * 2) + 3 = 7x + -5(x + -5) (12 + 2x) + 3 = 7x + -5(x + -5) Reorder the terms: 12 + 3 + 2x = 7x + -5(x + -5) Combine like terms: 12 + 3 = 15 15 + 2x = 7x + -5(x + -5) Reorder the terms: 15 + 2x = 7x + -5(-5 + x) 15 + 2x = 7x + (-5 * -5 + x * -5) 15 + 2x = 7x + (25 + -5x) Reorder the terms: 15 + 2x = 25 + 7x + -5x Combine like terms: 7x + -5x = 2x 15 + 2x = 25 + 2x Add '-2x' to each side of the equation. 15 + 2x + -2x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 0 = 25 + 2x + -2x 15 = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 15 = 25 + 0 15 = 25 Solving 15 = 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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