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Simplifying -6(9x + 5) + -3x + 4x = -408 + 8 Reorder the terms: -6(5 + 9x) + -3x + 4x = -408 + 8 (5 * -6 + 9x * -6) + -3x + 4x = -408 + 8 (-30 + -54x) + -3x + 4x = -408 + 8 Combine like terms: -54x + -3x = -57x -30 + -57x + 4x = -408 + 8 Combine like terms: -57x + 4x = -53x -30 + -53x = -408 + 8 Combine like terms: -408 + 8 = -400 -30 + -53x = -400 Solving -30 + -53x = -400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -53x = -400 + 30 Combine like terms: -30 + 30 = 0 0 + -53x = -400 + 30 -53x = -400 + 30 Combine like terms: -400 + 30 = -370 -53x = -370 Divide each side by '-53'. x = 6.981132075 Simplifying x = 6.981132075
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