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Simplifying 7[2 + -1(3 + 6x)] + -4x = 9 + 2(1 + -23x) 7[2 + (3 * -1 + 6x * -1)] + -4x = 9 + 2(1 + -23x) 7[2 + (-3 + -6x)] + -4x = 9 + 2(1 + -23x) Combine like terms: 2 + -3 = -1 7[-1 + -6x] + -4x = 9 + 2(1 + -23x) [-1 * 7 + -6x * 7] + -4x = 9 + 2(1 + -23x) [-7 + -42x] + -4x = 9 + 2(1 + -23x) Combine like terms: -42x + -4x = -46x -7 + -46x = 9 + 2(1 + -23x) -7 + -46x = 9 + (1 * 2 + -23x * 2) -7 + -46x = 9 + (2 + -46x) Combine like terms: 9 + 2 = 11 -7 + -46x = 11 + -46x Add '46x' to each side of the equation. -7 + -46x + 46x = 11 + -46x + 46x Combine like terms: -46x + 46x = 0 -7 + 0 = 11 + -46x + 46x -7 = 11 + -46x + 46x Combine like terms: -46x + 46x = 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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