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Simplifying 23x + -7 + -12x + 3 = 27x + -5 + -16x + 16 Reorder the terms: -7 + 3 + 23x + -12x = 27x + -5 + -16x + 16 Combine like terms: -7 + 3 = -4 -4 + 23x + -12x = 27x + -5 + -16x + 16 Combine like terms: 23x + -12x = 11x -4 + 11x = 27x + -5 + -16x + 16 Reorder the terms: -4 + 11x = -5 + 16 + 27x + -16x Combine like terms: -5 + 16 = 11 -4 + 11x = 11 + 27x + -16x Combine like terms: 27x + -16x = 11x -4 + 11x = 11 + 11x Add '-11x' to each side of the equation. -4 + 11x + -11x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + 0 = 11 + 11x + -11x -4 = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 = 11 + 0 -4 = 11 Solving -4 = 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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