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Simplifying 3(2x + -3) + -1(4x + 1) = 2x + -9 Reorder the terms: 3(-3 + 2x) + -1(4x + 1) = 2x + -9 (-3 * 3 + 2x * 3) + -1(4x + 1) = 2x + -9 (-9 + 6x) + -1(4x + 1) = 2x + -9 Reorder the terms: -9 + 6x + -1(1 + 4x) = 2x + -9 -9 + 6x + (1 * -1 + 4x * -1) = 2x + -9 -9 + 6x + (-1 + -4x) = 2x + -9 Reorder the terms: -9 + -1 + 6x + -4x = 2x + -9 Combine like terms: -9 + -1 = -10 -10 + 6x + -4x = 2x + -9 Combine like terms: 6x + -4x = 2x -10 + 2x = 2x + -9 Reorder the terms: -10 + 2x = -9 + 2x Add '-2x' to each side of the equation. -10 + 2x + -2x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 0 = -9 + 2x + -2x -10 = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 = -9 + 0 -10 = -9 Solving -10 = -9 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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