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Simplifying 5(3x + -4) + -7x + 8 = 20(x + 2) + -2(6x + -5) Reorder the terms: 5(-4 + 3x) + -7x + 8 = 20(x + 2) + -2(6x + -5) (-4 * 5 + 3x * 5) + -7x + 8 = 20(x + 2) + -2(6x + -5) (-20 + 15x) + -7x + 8 = 20(x + 2) + -2(6x + -5) Reorder the terms: -20 + 8 + 15x + -7x = 20(x + 2) + -2(6x + -5) Combine like terms: -20 + 8 = -12 -12 + 15x + -7x = 20(x + 2) + -2(6x + -5) Combine like terms: 15x + -7x = 8x -12 + 8x = 20(x + 2) + -2(6x + -5) Reorder the terms: -12 + 8x = 20(2 + x) + -2(6x + -5) -12 + 8x = (2 * 20 + x * 20) + -2(6x + -5) -12 + 8x = (40 + 20x) + -2(6x + -5) Reorder the terms: -12 + 8x = 40 + 20x + -2(-5 + 6x) -12 + 8x = 40 + 20x + (-5 * -2 + 6x * -2) -12 + 8x = 40 + 20x + (10 + -12x) Reorder the terms: -12 + 8x = 40 + 10 + 20x + -12x Combine like terms: 40 + 10 = 50 -12 + 8x = 50 + 20x + -12x Combine like terms: 20x + -12x = 8x -12 + 8x = 50 + 8x Add '-8x' to each side of the equation. -12 + 8x + -8x = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 0 = 50 + 8x + -8x -12 = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 = 50 + 0 -12 = 50 Solving -12 = 50 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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