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Simplifying 9 + 5(x + -2) = 9x + -4(x + 4) Reorder the terms: 9 + 5(-2 + x) = 9x + -4(x + 4) 9 + (-2 * 5 + x * 5) = 9x + -4(x + 4) 9 + (-10 + 5x) = 9x + -4(x + 4) Combine like terms: 9 + -10 = -1 -1 + 5x = 9x + -4(x + 4) Reorder the terms: -1 + 5x = 9x + -4(4 + x) -1 + 5x = 9x + (4 * -4 + x * -4) -1 + 5x = 9x + (-16 + -4x) Reorder the terms: -1 + 5x = -16 + 9x + -4x Combine like terms: 9x + -4x = 5x -1 + 5x = -16 + 5x Add '-5x' to each side of the equation. -1 + 5x + -5x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 0 = -16 + 5x + -5x -1 = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 = -16 + 0 -1 = -16 Solving -1 = -16 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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