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Simplifying 5(x + -1) + -3(x + 2) = (x + 4) * 2 Reorder the terms: 5(-1 + x) + -3(x + 2) = (x + 4) * 2 (-1 * 5 + x * 5) + -3(x + 2) = (x + 4) * 2 (-5 + 5x) + -3(x + 2) = (x + 4) * 2 Reorder the terms: -5 + 5x + -3(2 + x) = (x + 4) * 2 -5 + 5x + (2 * -3 + x * -3) = (x + 4) * 2 -5 + 5x + (-6 + -3x) = (x + 4) * 2 Reorder the terms: -5 + -6 + 5x + -3x = (x + 4) * 2 Combine like terms: -5 + -6 = -11 -11 + 5x + -3x = (x + 4) * 2 Combine like terms: 5x + -3x = 2x -11 + 2x = (x + 4) * 2 Reorder the terms: -11 + 2x = (4 + x) * 2 Reorder the terms for easier multiplication: -11 + 2x = 2(4 + x) -11 + 2x = (4 * 2 + x * 2) -11 + 2x = (8 + 2x) Add '-2x' to each side of the equation. -11 + 2x + -2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 0 = 8 + 2x + -2x -11 = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 = 8 + 0 -11 = 8 Solving -11 = 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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