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Simplifying 6[3 + -1(5 + 2x)] + -2x = 14 + 2(1 + -7x) 6[3 + (5 * -1 + 2x * -1)] + -2x = 14 + 2(1 + -7x) 6[3 + (-5 + -2x)] + -2x = 14 + 2(1 + -7x) Combine like terms: 3 + -5 = -2 6[-2 + -2x] + -2x = 14 + 2(1 + -7x) [-2 * 6 + -2x * 6] + -2x = 14 + 2(1 + -7x) [-12 + -12x] + -2x = 14 + 2(1 + -7x) Combine like terms: -12x + -2x = -14x -12 + -14x = 14 + 2(1 + -7x) -12 + -14x = 14 + (1 * 2 + -7x * 2) -12 + -14x = 14 + (2 + -14x) Combine like terms: 14 + 2 = 16 -12 + -14x = 16 + -14x Add '14x' to each side of the equation. -12 + -14x + 14x = 16 + -14x + 14x Combine like terms: -14x + 14x = 0 -12 + 0 = 16 + -14x + 14x -12 = 16 + -14x + 14x Combine like terms: -14x + 14x = 0 -12 = 16 + 0 -12 = 16 Solving -12 = 16 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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