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Simplifying 2(x + -5) + 8 = 11x + -9(x + 5) Reorder the terms: 2(-5 + x) + 8 = 11x + -9(x + 5) (-5 * 2 + x * 2) + 8 = 11x + -9(x + 5) (-10 + 2x) + 8 = 11x + -9(x + 5) Reorder the terms: -10 + 8 + 2x = 11x + -9(x + 5) Combine like terms: -10 + 8 = -2 -2 + 2x = 11x + -9(x + 5) Reorder the terms: -2 + 2x = 11x + -9(5 + x) -2 + 2x = 11x + (5 * -9 + x * -9) -2 + 2x = 11x + (-45 + -9x) Reorder the terms: -2 + 2x = -45 + 11x + -9x Combine like terms: 11x + -9x = 2x -2 + 2x = -45 + 2x Add '-2x' to each side of the equation. -2 + 2x + -2x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 0 = -45 + 2x + -2x -2 = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 = -45 + 0 -2 = -45 Solving -2 = -45 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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