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Simplifying 2x + -1(5 + -3x) = 4(2x + -3) + -3x 2x + (5 * -1 + -3x * -1) = 4(2x + -3) + -3x 2x + (-5 + 3x) = 4(2x + -3) + -3x Reorder the terms: -5 + 2x + 3x = 4(2x + -3) + -3x Combine like terms: 2x + 3x = 5x -5 + 5x = 4(2x + -3) + -3x Reorder the terms: -5 + 5x = 4(-3 + 2x) + -3x -5 + 5x = (-3 * 4 + 2x * 4) + -3x -5 + 5x = (-12 + 8x) + -3x Combine like terms: 8x + -3x = 5x -5 + 5x = -12 + 5x Add '-5x' to each side of the equation. -5 + 5x + -5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 0 = -12 + 5x + -5x -5 = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 = -12 + 0 -5 = -12 Solving -5 = -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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