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Simplifying -9(9x + 5) + -3x + 4x = -408 + x Reorder the terms: -9(5 + 9x) + -3x + 4x = -408 + x (5 * -9 + 9x * -9) + -3x + 4x = -408 + x (-45 + -81x) + -3x + 4x = -408 + x Combine like terms: -81x + -3x = -84x -45 + -84x + 4x = -408 + x Combine like terms: -84x + 4x = -80x -45 + -80x = -408 + x Solving -45 + -80x = -408 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -45 + -80x + -1x = -408 + x + -1x Combine like terms: -80x + -1x = -81x -45 + -81x = -408 + x + -1x Combine like terms: x + -1x = 0 -45 + -81x = -408 + 0 -45 + -81x = -408 Add '45' to each side of the equation. -45 + 45 + -81x = -408 + 45 Combine like terms: -45 + 45 = 0 0 + -81x = -408 + 45 -81x = -408 + 45 Combine like terms: -408 + 45 = -363 -81x = -363 Divide each side by '-81'. x = 4.481481481 Simplifying x = 4.481481481
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