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Simplifying 3x + -3 + -1(5x + -8) = 3x + -5(x + -2) Reorder the terms: 3x + -3 + -1(-8 + 5x) = 3x + -5(x + -2) 3x + -3 + (-8 * -1 + 5x * -1) = 3x + -5(x + -2) 3x + -3 + (8 + -5x) = 3x + -5(x + -2) Reorder the terms: -3 + 8 + 3x + -5x = 3x + -5(x + -2) Combine like terms: -3 + 8 = 5 5 + 3x + -5x = 3x + -5(x + -2) Combine like terms: 3x + -5x = -2x 5 + -2x = 3x + -5(x + -2) Reorder the terms: 5 + -2x = 3x + -5(-2 + x) 5 + -2x = 3x + (-2 * -5 + x * -5) 5 + -2x = 3x + (10 + -5x) Reorder the terms: 5 + -2x = 10 + 3x + -5x Combine like terms: 3x + -5x = -2x 5 + -2x = 10 + -2x Add '2x' to each side of the equation. 5 + -2x + 2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 0 = 10 + -2x + 2x 5 = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 5 = 10 + 0 5 = 10 Solving 5 = 10 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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