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Simplifying 6[4 + -1(5 + 4x)] + -2x = -8 + 2(1 + -13x) 6[4 + (5 * -1 + 4x * -1)] + -2x = -8 + 2(1 + -13x) 6[4 + (-5 + -4x)] + -2x = -8 + 2(1 + -13x) Combine like terms: 4 + -5 = -1 6[-1 + -4x] + -2x = -8 + 2(1 + -13x) [-1 * 6 + -4x * 6] + -2x = -8 + 2(1 + -13x) [-6 + -24x] + -2x = -8 + 2(1 + -13x) Combine like terms: -24x + -2x = -26x -6 + -26x = -8 + 2(1 + -13x) -6 + -26x = -8 + (1 * 2 + -13x * 2) -6 + -26x = -8 + (2 + -26x) Combine like terms: -8 + 2 = -6 -6 + -26x = -6 + -26x Add '6' to each side of the equation. -6 + 6 + -26x = -6 + 6 + -26x Combine like terms: -6 + 6 = 0 0 + -26x = -6 + 6 + -26x -26x = -6 + 6 + -26x Combine like terms: -6 + 6 = 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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