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