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Simplifying 5(3x + -2) + -6x = 3(1 + 3x) + -1 Reorder the terms: 5(-2 + 3x) + -6x = 3(1 + 3x) + -1 (-2 * 5 + 3x * 5) + -6x = 3(1 + 3x) + -1 (-10 + 15x) + -6x = 3(1 + 3x) + -1 Combine like terms: 15x + -6x = 9x -10 + 9x = 3(1 + 3x) + -1 -10 + 9x = (1 * 3 + 3x * 3) + -1 -10 + 9x = (3 + 9x) + -1 Reorder the terms: -10 + 9x = 3 + -1 + 9x Combine like terms: 3 + -1 = 2 -10 + 9x = 2 + 9x Add '-9x' to each side of the equation. -10 + 9x + -9x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 0 = 2 + 9x + -9x -10 = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 = 2 + 0 -10 = 2 Solving -10 = 2 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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