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Simplifying 10x + -1(4 + -3x) = 7x + 2(3x + 5) 10x + (4 * -1 + -3x * -1) = 7x + 2(3x + 5) 10x + (-4 + 3x) = 7x + 2(3x + 5) Reorder the terms: -4 + 10x + 3x = 7x + 2(3x + 5) Combine like terms: 10x + 3x = 13x -4 + 13x = 7x + 2(3x + 5) Reorder the terms: -4 + 13x = 7x + 2(5 + 3x) -4 + 13x = 7x + (5 * 2 + 3x * 2) -4 + 13x = 7x + (10 + 6x) Reorder the terms: -4 + 13x = 10 + 7x + 6x Combine like terms: 7x + 6x = 13x -4 + 13x = 10 + 13x Add '-13x' to each side of the equation. -4 + 13x + -13x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + 0 = 10 + 13x + -13x -4 = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 = 10 + 0 -4 = 10 Solving -4 = 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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