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Simplifying 10x + -5(x + 4) + 9 = -11 + 5x + 21 Reorder the terms: 10x + -5(4 + x) + 9 = -11 + 5x + 21 10x + (4 * -5 + x * -5) + 9 = -11 + 5x + 21 10x + (-20 + -5x) + 9 = -11 + 5x + 21 Reorder the terms: -20 + 9 + 10x + -5x = -11 + 5x + 21 Combine like terms: -20 + 9 = -11 -11 + 10x + -5x = -11 + 5x + 21 Combine like terms: 10x + -5x = 5x -11 + 5x = -11 + 5x + 21 Reorder the terms: -11 + 5x = -11 + 21 + 5x Combine like terms: -11 + 21 = 10 -11 + 5x = 10 + 5x Add '-5x' to each side of the equation. -11 + 5x + -5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 0 = 10 + 5x + -5x -11 = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 = 10 + 0 -11 = 10 Solving -11 = 10 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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