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Simplifying 5(3x + -1) = 2(8x + -4) + -1x + 20 Reorder the terms: 5(-1 + 3x) = 2(8x + -4) + -1x + 20 (-1 * 5 + 3x * 5) = 2(8x + -4) + -1x + 20 (-5 + 15x) = 2(8x + -4) + -1x + 20 Reorder the terms: -5 + 15x = 2(-4 + 8x) + -1x + 20 -5 + 15x = (-4 * 2 + 8x * 2) + -1x + 20 -5 + 15x = (-8 + 16x) + -1x + 20 Reorder the terms: -5 + 15x = -8 + 20 + 16x + -1x Combine like terms: -8 + 20 = 12 -5 + 15x = 12 + 16x + -1x Combine like terms: 16x + -1x = 15x -5 + 15x = 12 + 15x Add '-15x' to each side of the equation. -5 + 15x + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + 0 = 12 + 15x + -15x -5 = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 = 12 + 0 -5 = 12 Solving -5 = 12 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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