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Simplifying 5x + 4(8x + -5) = -3x + 8 + -8(2 + -5x) Reorder the terms: 5x + 4(-5 + 8x) = -3x + 8 + -8(2 + -5x) 5x + (-5 * 4 + 8x * 4) = -3x + 8 + -8(2 + -5x) 5x + (-20 + 32x) = -3x + 8 + -8(2 + -5x) Reorder the terms: -20 + 5x + 32x = -3x + 8 + -8(2 + -5x) Combine like terms: 5x + 32x = 37x -20 + 37x = -3x + 8 + -8(2 + -5x) -20 + 37x = -3x + 8 + (2 * -8 + -5x * -8) -20 + 37x = -3x + 8 + (-16 + 40x) Reorder the terms: -20 + 37x = 8 + -16 + -3x + 40x Combine like terms: 8 + -16 = -8 -20 + 37x = -8 + -3x + 40x Combine like terms: -3x + 40x = 37x -20 + 37x = -8 + 37x Add '-37x' to each side of the equation. -20 + 37x + -37x = -8 + 37x + -37x Combine like terms: 37x + -37x = 0 -20 + 0 = -8 + 37x + -37x -20 = -8 + 37x + -37x Combine like terms: 37x + -37x = 0 -20 = -8 + 0 -20 = -8 Solving -20 = -8 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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