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