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Simplifying 3x + -1(5x + 4) = 12x + -7(2x + -1) Reorder the terms: 3x + -1(4 + 5x) = 12x + -7(2x + -1) 3x + (4 * -1 + 5x * -1) = 12x + -7(2x + -1) 3x + (-4 + -5x) = 12x + -7(2x + -1) Reorder the terms: -4 + 3x + -5x = 12x + -7(2x + -1) Combine like terms: 3x + -5x = -2x -4 + -2x = 12x + -7(2x + -1) Reorder the terms: -4 + -2x = 12x + -7(-1 + 2x) -4 + -2x = 12x + (-1 * -7 + 2x * -7) -4 + -2x = 12x + (7 + -14x) Reorder the terms: -4 + -2x = 7 + 12x + -14x Combine like terms: 12x + -14x = -2x -4 + -2x = 7 + -2x Add '2x' to each side of the equation. -4 + -2x + 2x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 0 = 7 + -2x + 2x -4 = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 = 7 + 0 -4 = 7 Solving -4 = 7 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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