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Simplifying 7x + -1(5x + 1) = 3(2x + -5) + -4x Reorder the terms: 7x + -1(1 + 5x) = 3(2x + -5) + -4x 7x + (1 * -1 + 5x * -1) = 3(2x + -5) + -4x 7x + (-1 + -5x) = 3(2x + -5) + -4x Reorder the terms: -1 + 7x + -5x = 3(2x + -5) + -4x Combine like terms: 7x + -5x = 2x -1 + 2x = 3(2x + -5) + -4x Reorder the terms: -1 + 2x = 3(-5 + 2x) + -4x -1 + 2x = (-5 * 3 + 2x * 3) + -4x -1 + 2x = (-15 + 6x) + -4x Combine like terms: 6x + -4x = 2x -1 + 2x = -15 + 2x Add '-2x' to each side of the equation. -1 + 2x + -2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 0 = -15 + 2x + -2x -1 = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 = -15 + 0 -1 = -15 Solving -1 = -15 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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