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Simplifying 3(x + 2) + 2(x + 1) = 5(x + -3) Reorder the terms: 3(2 + x) + 2(x + 1) = 5(x + -3) (2 * 3 + x * 3) + 2(x + 1) = 5(x + -3) (6 + 3x) + 2(x + 1) = 5(x + -3) Reorder the terms: 6 + 3x + 2(1 + x) = 5(x + -3) 6 + 3x + (1 * 2 + x * 2) = 5(x + -3) 6 + 3x + (2 + 2x) = 5(x + -3) Reorder the terms: 6 + 2 + 3x + 2x = 5(x + -3) Combine like terms: 6 + 2 = 8 8 + 3x + 2x = 5(x + -3) Combine like terms: 3x + 2x = 5x 8 + 5x = 5(x + -3) Reorder the terms: 8 + 5x = 5(-3 + x) 8 + 5x = (-3 * 5 + x * 5) 8 + 5x = (-15 + 5x) Add '-5x' to each side of the equation. 8 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 0 = -15 + 5x + -5x 8 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 = -15 + 0 8 = -15 Solving 8 = -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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