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Simplifying 2(3x + -5) + -4x = 6 + -2(7 + -1x) Reorder the terms: 2(-5 + 3x) + -4x = 6 + -2(7 + -1x) (-5 * 2 + 3x * 2) + -4x = 6 + -2(7 + -1x) (-10 + 6x) + -4x = 6 + -2(7 + -1x) Combine like terms: 6x + -4x = 2x -10 + 2x = 6 + -2(7 + -1x) -10 + 2x = 6 + (7 * -2 + -1x * -2) -10 + 2x = 6 + (-14 + 2x) Combine like terms: 6 + -14 = -8 -10 + 2x = -8 + 2x Add '-2x' to each side of the equation. -10 + 2x + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 0 = -8 + 2x + -2x -10 = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 = -8 + 0 -10 = -8 Solving -10 = -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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