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Simplifying 6[-1(5 + 4x)] + -2x = -14 + 2(1 + -13x) 6[(5 * -1 + 4x * -1)] + -2x = -14 + 2(1 + -13x) 6[(-5 + -4x)] + -2x = -14 + 2(1 + -13x) [-5 * 6 + -4x * 6] + -2x = -14 + 2(1 + -13x) [-30 + -24x] + -2x = -14 + 2(1 + -13x) Combine like terms: -24x + -2x = -26x -30 + -26x = -14 + 2(1 + -13x) -30 + -26x = -14 + (1 * 2 + -13x * 2) -30 + -26x = -14 + (2 + -26x) Combine like terms: -14 + 2 = -12 -30 + -26x = -12 + -26x Add '26x' to each side of the equation. -30 + -26x + 26x = -12 + -26x + 26x Combine like terms: -26x + 26x = 0 -30 + 0 = -12 + -26x + 26x -30 = -12 + -26x + 26x Combine like terms: -26x + 26x = 0 -30 = -12 + 0 -30 = -12 Solving -30 = -12 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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