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Simplifying 17x + -4(3x + -5) = 5(x + -4) Reorder the terms: 17x + -4(-5 + 3x) = 5(x + -4) 17x + (-5 * -4 + 3x * -4) = 5(x + -4) 17x + (20 + -12x) = 5(x + -4) Reorder the terms: 20 + 17x + -12x = 5(x + -4) Combine like terms: 17x + -12x = 5x 20 + 5x = 5(x + -4) Reorder the terms: 20 + 5x = 5(-4 + x) 20 + 5x = (-4 * 5 + x * 5) 20 + 5x = (-20 + 5x) Add '-5x' to each side of the equation. 20 + 5x + -5x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 0 = -20 + 5x + -5x 20 = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 20 = -20 + 0 20 = -20 Solving 20 = -20 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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