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Simplifying 5(2x + -1) + -3 = 5(4 + 2x) + 1 Reorder the terms: 5(-1 + 2x) + -3 = 5(4 + 2x) + 1 (-1 * 5 + 2x * 5) + -3 = 5(4 + 2x) + 1 (-5 + 10x) + -3 = 5(4 + 2x) + 1 Reorder the terms: -5 + -3 + 10x = 5(4 + 2x) + 1 Combine like terms: -5 + -3 = -8 -8 + 10x = 5(4 + 2x) + 1 -8 + 10x = (4 * 5 + 2x * 5) + 1 -8 + 10x = (20 + 10x) + 1 Reorder the terms: -8 + 10x = 20 + 1 + 10x Combine like terms: 20 + 1 = 21 -8 + 10x = 21 + 10x Add '-10x' to each side of the equation. -8 + 10x + -10x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 0 = 21 + 10x + -10x -8 = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 = 21 + 0 -8 = 21 Solving -8 = 21 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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