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Simplifying 4(2x + -6) + 3(x + -2) = 11x + 1 Reorder the terms: 4(-6 + 2x) + 3(x + -2) = 11x + 1 (-6 * 4 + 2x * 4) + 3(x + -2) = 11x + 1 (-24 + 8x) + 3(x + -2) = 11x + 1 Reorder the terms: -24 + 8x + 3(-2 + x) = 11x + 1 -24 + 8x + (-2 * 3 + x * 3) = 11x + 1 -24 + 8x + (-6 + 3x) = 11x + 1 Reorder the terms: -24 + -6 + 8x + 3x = 11x + 1 Combine like terms: -24 + -6 = -30 -30 + 8x + 3x = 11x + 1 Combine like terms: 8x + 3x = 11x -30 + 11x = 11x + 1 Reorder the terms: -30 + 11x = 1 + 11x Add '-11x' to each side of the equation. -30 + 11x + -11x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -30 + 0 = 1 + 11x + -11x -30 = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -30 = 1 + 0 -30 = 1 Solving -30 = 1 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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