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Simplifying 3x + -4(2x + -5) = 2 + -5(x + 4) Reorder the terms: 3x + -4(-5 + 2x) = 2 + -5(x + 4) 3x + (-5 * -4 + 2x * -4) = 2 + -5(x + 4) 3x + (20 + -8x) = 2 + -5(x + 4) Reorder the terms: 20 + 3x + -8x = 2 + -5(x + 4) Combine like terms: 3x + -8x = -5x 20 + -5x = 2 + -5(x + 4) Reorder the terms: 20 + -5x = 2 + -5(4 + x) 20 + -5x = 2 + (4 * -5 + x * -5) 20 + -5x = 2 + (-20 + -5x) Combine like terms: 2 + -20 = -18 20 + -5x = -18 + -5x Add '5x' to each side of the equation. 20 + -5x + 5x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 0 = -18 + -5x + 5x 20 = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 20 = -18 + 0 20 = -18 Solving 20 = -18 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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