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Simplifying 7[2 + -1(3 + 2x)] + -4x = 9 + 2(1 + -9x) 7[2 + (3 * -1 + 2x * -1)] + -4x = 9 + 2(1 + -9x) 7[2 + (-3 + -2x)] + -4x = 9 + 2(1 + -9x) Combine like terms: 2 + -3 = -1 7[-1 + -2x] + -4x = 9 + 2(1 + -9x) [-1 * 7 + -2x * 7] + -4x = 9 + 2(1 + -9x) [-7 + -14x] + -4x = 9 + 2(1 + -9x) Combine like terms: -14x + -4x = -18x -7 + -18x = 9 + 2(1 + -9x) -7 + -18x = 9 + (1 * 2 + -9x * 2) -7 + -18x = 9 + (2 + -18x) Combine like terms: 9 + 2 = 11 -7 + -18x = 11 + -18x Add '18x' to each side of the equation. -7 + -18x + 18x = 11 + -18x + 18x Combine like terms: -18x + 18x = 0 -7 + 0 = 11 + -18x + 18x -7 = 11 + -18x + 18x Combine like terms: -18x + 18x = 0 -7 = 11 + 0 -7 = 11 Solving -7 = 11 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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