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Simplifying 3(x + 3) + 2(x + -1) = 5(x + -5) Reorder the terms: 3(3 + x) + 2(x + -1) = 5(x + -5) (3 * 3 + x * 3) + 2(x + -1) = 5(x + -5) (9 + 3x) + 2(x + -1) = 5(x + -5) Reorder the terms: 9 + 3x + 2(-1 + x) = 5(x + -5) 9 + 3x + (-1 * 2 + x * 2) = 5(x + -5) 9 + 3x + (-2 + 2x) = 5(x + -5) Reorder the terms: 9 + -2 + 3x + 2x = 5(x + -5) Combine like terms: 9 + -2 = 7 7 + 3x + 2x = 5(x + -5) Combine like terms: 3x + 2x = 5x 7 + 5x = 5(x + -5) Reorder the terms: 7 + 5x = 5(-5 + x) 7 + 5x = (-5 * 5 + x * 5) 7 + 5x = (-25 + 5x) Add '-5x' to each side of the equation. 7 + 5x + -5x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 0 = -25 + 5x + -5x 7 = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 7 = -25 + 0 7 = -25 Solving 7 = -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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