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Simplifying -1(x + -3) + 6(x + -1) = 2x + 10 + -5 + 3x Reorder the terms: -1(-3 + x) + 6(x + -1) = 2x + 10 + -5 + 3x (-3 * -1 + x * -1) + 6(x + -1) = 2x + 10 + -5 + 3x (3 + -1x) + 6(x + -1) = 2x + 10 + -5 + 3x Reorder the terms: 3 + -1x + 6(-1 + x) = 2x + 10 + -5 + 3x 3 + -1x + (-1 * 6 + x * 6) = 2x + 10 + -5 + 3x 3 + -1x + (-6 + 6x) = 2x + 10 + -5 + 3x Reorder the terms: 3 + -6 + -1x + 6x = 2x + 10 + -5 + 3x Combine like terms: 3 + -6 = -3 -3 + -1x + 6x = 2x + 10 + -5 + 3x Combine like terms: -1x + 6x = 5x -3 + 5x = 2x + 10 + -5 + 3x Reorder the terms: -3 + 5x = 10 + -5 + 2x + 3x Combine like terms: 10 + -5 = 5 -3 + 5x = 5 + 2x + 3x Combine like terms: 2x + 3x = 5x -3 + 5x = 5 + 5x Add '-5x' to each side of the equation. -3 + 5x + -5x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 0 = 5 + 5x + -5x -3 = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 = 5 + 0 -3 = 5 Solving -3 = 5 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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