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Simplifying 2(x + -5) = 3(4 + 5x) + -13x Reorder the terms: 2(-5 + x) = 3(4 + 5x) + -13x (-5 * 2 + x * 2) = 3(4 + 5x) + -13x (-10 + 2x) = 3(4 + 5x) + -13x -10 + 2x = (4 * 3 + 5x * 3) + -13x -10 + 2x = (12 + 15x) + -13x Combine like terms: 15x + -13x = 2x -10 + 2x = 12 + 2x Add '-2x' to each side of the equation. -10 + 2x + -2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 0 = 12 + 2x + -2x -10 = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 = 12 + 0 -10 = 12 Solving -10 = 12 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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