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