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Simplifying 8[2 + -1(3 + 6x)] + -4x = -10 + 2(1 + -26x) 8[2 + (3 * -1 + 6x * -1)] + -4x = -10 + 2(1 + -26x) 8[2 + (-3 + -6x)] + -4x = -10 + 2(1 + -26x) Combine like terms: 2 + -3 = -1 8[-1 + -6x] + -4x = -10 + 2(1 + -26x) [-1 * 8 + -6x * 8] + -4x = -10 + 2(1 + -26x) [-8 + -48x] + -4x = -10 + 2(1 + -26x) Combine like terms: -48x + -4x = -52x -8 + -52x = -10 + 2(1 + -26x) -8 + -52x = -10 + (1 * 2 + -26x * 2) -8 + -52x = -10 + (2 + -52x) Combine like terms: -10 + 2 = -8 -8 + -52x = -8 + -52x Add '8' to each side of the equation. -8 + 8 + -52x = -8 + 8 + -52x Combine like terms: -8 + 8 = 0 0 + -52x = -8 + 8 + -52x -52x = -8 + 8 + -52x Combine like terms: -8 + 8 = 0 -52x = 0 + -52x -52x = -52x Add '52x' to each side of the equation. -52x + 52x = -52x + 52x Combine like terms: -52x + 52x = 0 0 = -52x + 52x Combine like terms: -52x + 52x = 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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