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Simplifying 2(x + 5) + 105 = 7x + -5(x + -9) Reorder the terms: 2(5 + x) + 105 = 7x + -5(x + -9) (5 * 2 + x * 2) + 105 = 7x + -5(x + -9) (10 + 2x) + 105 = 7x + -5(x + -9) Reorder the terms: 10 + 105 + 2x = 7x + -5(x + -9) Combine like terms: 10 + 105 = 115 115 + 2x = 7x + -5(x + -9) Reorder the terms: 115 + 2x = 7x + -5(-9 + x) 115 + 2x = 7x + (-9 * -5 + x * -5) 115 + 2x = 7x + (45 + -5x) Reorder the terms: 115 + 2x = 45 + 7x + -5x Combine like terms: 7x + -5x = 2x 115 + 2x = 45 + 2x Add '-2x' to each side of the equation. 115 + 2x + -2x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 115 + 0 = 45 + 2x + -2x 115 = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 115 = 45 + 0 115 = 45 Solving 115 = 45 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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