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Simplifying 6(x + -5) + -7 = 32 + -5x + -9 + 11x Reorder the terms: 6(-5 + x) + -7 = 32 + -5x + -9 + 11x (-5 * 6 + x * 6) + -7 = 32 + -5x + -9 + 11x (-30 + 6x) + -7 = 32 + -5x + -9 + 11x Reorder the terms: -30 + -7 + 6x = 32 + -5x + -9 + 11x Combine like terms: -30 + -7 = -37 -37 + 6x = 32 + -5x + -9 + 11x Reorder the terms: -37 + 6x = 32 + -9 + -5x + 11x Combine like terms: 32 + -9 = 23 -37 + 6x = 23 + -5x + 11x Combine like terms: -5x + 11x = 6x -37 + 6x = 23 + 6x Add '-6x' to each side of the equation. -37 + 6x + -6x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -37 + 0 = 23 + 6x + -6x -37 = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -37 = 23 + 0 -37 = 23 Solving -37 = 23 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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