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Simplifying 6(x + 2) = 5(1 + 3x) + -9x Reorder the terms: 6(2 + x) = 5(1 + 3x) + -9x (2 * 6 + x * 6) = 5(1 + 3x) + -9x (12 + 6x) = 5(1 + 3x) + -9x 12 + 6x = (1 * 5 + 3x * 5) + -9x 12 + 6x = (5 + 15x) + -9x Combine like terms: 15x + -9x = 6x 12 + 6x = 5 + 6x Add '-6x' to each side of the equation. 12 + 6x + -6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 0 = 5 + 6x + -6x 12 = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 12 = 5 + 0 12 = 5 Solving 12 = 5 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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