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Simplifying 5x + -1(7 + -1(2x + -1)) = 3(x + -5) + 4(x + 3) Reorder the terms: 5x + -1(7 + -1(-1 + 2x)) = 3(x + -5) + 4(x + 3) 5x + -1(7 + (-1 * -1 + 2x * -1)) = 3(x + -5) + 4(x + 3) 5x + -1(7 + (1 + -2x)) = 3(x + -5) + 4(x + 3) Combine like terms: 7 + 1 = 8 5x + -1(8 + -2x) = 3(x + -5) + 4(x + 3) 5x + (8 * -1 + -2x * -1) = 3(x + -5) + 4(x + 3) 5x + (-8 + 2x) = 3(x + -5) + 4(x + 3) Reorder the terms: -8 + 5x + 2x = 3(x + -5) + 4(x + 3) Combine like terms: 5x + 2x = 7x -8 + 7x = 3(x + -5) + 4(x + 3) Reorder the terms: -8 + 7x = 3(-5 + x) + 4(x + 3) -8 + 7x = (-5 * 3 + x * 3) + 4(x + 3) -8 + 7x = (-15 + 3x) + 4(x + 3) Reorder the terms: -8 + 7x = -15 + 3x + 4(3 + x) -8 + 7x = -15 + 3x + (3 * 4 + x * 4) -8 + 7x = -15 + 3x + (12 + 4x) Reorder the terms: -8 + 7x = -15 + 12 + 3x + 4x Combine like terms: -15 + 12 = -3 -8 + 7x = -3 + 3x + 4x Combine like terms: 3x + 4x = 7x -8 + 7x = -3 + 7x Add '-7x' to each side of the equation. -8 + 7x + -7x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 0 = -3 + 7x + -7x -8 = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 = -3 + 0 -8 = -3 Solving -8 = -3 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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