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Simplifying -2(3x + 4) + -1x + -6 = -5x + -2(x + 1) + 5 Reorder the terms: -2(4 + 3x) + -1x + -6 = -5x + -2(x + 1) + 5 (4 * -2 + 3x * -2) + -1x + -6 = -5x + -2(x + 1) + 5 (-8 + -6x) + -1x + -6 = -5x + -2(x + 1) + 5 Reorder the terms: -8 + -6 + -6x + -1x = -5x + -2(x + 1) + 5 Combine like terms: -8 + -6 = -14 -14 + -6x + -1x = -5x + -2(x + 1) + 5 Combine like terms: -6x + -1x = -7x -14 + -7x = -5x + -2(x + 1) + 5 Reorder the terms: -14 + -7x = -5x + -2(1 + x) + 5 -14 + -7x = -5x + (1 * -2 + x * -2) + 5 -14 + -7x = -5x + (-2 + -2x) + 5 Reorder the terms: -14 + -7x = -2 + 5 + -5x + -2x Combine like terms: -2 + 5 = 3 -14 + -7x = 3 + -5x + -2x Combine like terms: -5x + -2x = -7x -14 + -7x = 3 + -7x Add '7x' to each side of the equation. -14 + -7x + 7x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 + 0 = 3 + -7x + 7x -14 = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 = 3 + 0 -14 = 3 Solving -14 = 3 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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