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Simplifying 3(x + -5) = 5(4 + x) + 2(1 + -1x) Reorder the terms: 3(-5 + x) = 5(4 + x) + 2(1 + -1x) (-5 * 3 + x * 3) = 5(4 + x) + 2(1 + -1x) (-15 + 3x) = 5(4 + x) + 2(1 + -1x) -15 + 3x = (4 * 5 + x * 5) + 2(1 + -1x) -15 + 3x = (20 + 5x) + 2(1 + -1x) -15 + 3x = 20 + 5x + (1 * 2 + -1x * 2) -15 + 3x = 20 + 5x + (2 + -2x) Reorder the terms: -15 + 3x = 20 + 2 + 5x + -2x Combine like terms: 20 + 2 = 22 -15 + 3x = 22 + 5x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = 22 + 3x Add '-3x' to each side of the equation. -15 + 3x + -3x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 0 = 22 + 3x + -3x -15 = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 = 22 + 0 -15 = 22 Solving -15 = 22 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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