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Simplifying 6[3 + -1(5 + 4x)] + -2x = -14 + 2(1 + -13x) 6[3 + (5 * -1 + 4x * -1)] + -2x = -14 + 2(1 + -13x) 6[3 + (-5 + -4x)] + -2x = -14 + 2(1 + -13x) Combine like terms: 3 + -5 = -2 6[-2 + -4x] + -2x = -14 + 2(1 + -13x) [-2 * 6 + -4x * 6] + -2x = -14 + 2(1 + -13x) [-12 + -24x] + -2x = -14 + 2(1 + -13x) Combine like terms: -24x + -2x = -26x -12 + -26x = -14 + 2(1 + -13x) -12 + -26x = -14 + (1 * 2 + -13x * 2) -12 + -26x = -14 + (2 + -26x) Combine like terms: -14 + 2 = -12 -12 + -26x = -12 + -26x Add '12' to each side of the equation. -12 + 12 + -26x = -12 + 12 + -26x Combine like terms: -12 + 12 = 0 0 + -26x = -12 + 12 + -26x -26x = -12 + 12 + -26x Combine like terms: -12 + 12 = 0 -26x = 0 + -26x -26x = -26x Add '26x' to each side of the equation. -26x + 26x = -26x + 26x Combine like terms: -26x + 26x = 0 0 = -26x + 26x Combine like terms: -26x + 26x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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