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Simplifying 8[3 + -1(5 + 2x)] + -2x = 18 + 2(1 + -9x) 8[3 + (5 * -1 + 2x * -1)] + -2x = 18 + 2(1 + -9x) 8[3 + (-5 + -2x)] + -2x = 18 + 2(1 + -9x) Combine like terms: 3 + -5 = -2 8[-2 + -2x] + -2x = 18 + 2(1 + -9x) [-2 * 8 + -2x * 8] + -2x = 18 + 2(1 + -9x) [-16 + -16x] + -2x = 18 + 2(1 + -9x) Combine like terms: -16x + -2x = -18x -16 + -18x = 18 + 2(1 + -9x) -16 + -18x = 18 + (1 * 2 + -9x * 2) -16 + -18x = 18 + (2 + -18x) Combine like terms: 18 + 2 = 20 -16 + -18x = 20 + -18x Add '18x' to each side of the equation. -16 + -18x + 18x = 20 + -18x + 18x Combine like terms: -18x + 18x = 0 -16 + 0 = 20 + -18x + 18x -16 = 20 + -18x + 18x Combine like terms: -18x + 18x = 0 -16 = 20 + 0 -16 = 20 Solving -16 = 20 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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