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