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Simplifying 8[2 + -1(3 + 4x)] + -4x = 10 + 2(1 + -18x) 8[2 + (3 * -1 + 4x * -1)] + -4x = 10 + 2(1 + -18x) 8[2 + (-3 + -4x)] + -4x = 10 + 2(1 + -18x) Combine like terms: 2 + -3 = -1 8[-1 + -4x] + -4x = 10 + 2(1 + -18x) [-1 * 8 + -4x * 8] + -4x = 10 + 2(1 + -18x) [-8 + -32x] + -4x = 10 + 2(1 + -18x) Combine like terms: -32x + -4x = -36x -8 + -36x = 10 + 2(1 + -18x) -8 + -36x = 10 + (1 * 2 + -18x * 2) -8 + -36x = 10 + (2 + -36x) Combine like terms: 10 + 2 = 12 -8 + -36x = 12 + -36x Add '36x' to each side of the equation. -8 + -36x + 36x = 12 + -36x + 36x Combine like terms: -36x + 36x = 0 -8 + 0 = 12 + -36x + 36x -8 = 12 + -36x + 36x Combine like terms: -36x + 36x = 0 -8 = 12 + 0 -8 = 12 Solving -8 = 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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