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Simplifying 7x + -1(3x + 5) + -8 = 0.5(8x + 20) + -7 + 5 Reorder the terms: 7x + -1(5 + 3x) + -8 = 0.5(8x + 20) + -7 + 5 7x + (5 * -1 + 3x * -1) + -8 = 0.5(8x + 20) + -7 + 5 7x + (-5 + -3x) + -8 = 0.5(8x + 20) + -7 + 5 Reorder the terms: -5 + -8 + 7x + -3x = 0.5(8x + 20) + -7 + 5 Combine like terms: -5 + -8 = -13 -13 + 7x + -3x = 0.5(8x + 20) + -7 + 5 Combine like terms: 7x + -3x = 4x -13 + 4x = 0.5(8x + 20) + -7 + 5 Reorder the terms: -13 + 4x = 0.5(20 + 8x) + -7 + 5 -13 + 4x = (20 * 0.5 + 8x * 0.5) + -7 + 5 -13 + 4x = (10 + 4x) + -7 + 5 Reorder the terms: -13 + 4x = 10 + -7 + 5 + 4x Combine like terms: 10 + -7 = 3 -13 + 4x = 3 + 5 + 4x Combine like terms: 3 + 5 = 8 -13 + 4x = 8 + 4x Add '-4x' to each side of the equation. -13 + 4x + -4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 0 = 8 + 4x + -4x -13 = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 = 8 + 0 -13 = 8 Solving -13 = 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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