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