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Simplifying -6(9x + 5) + -3x + 4x = 408 + x Reorder the terms: -6(5 + 9x) + -3x + 4x = 408 + x (5 * -6 + 9x * -6) + -3x + 4x = 408 + x (-30 + -54x) + -3x + 4x = 408 + x Combine like terms: -54x + -3x = -57x -30 + -57x + 4x = 408 + x Combine like terms: -57x + 4x = -53x -30 + -53x = 408 + x Solving -30 + -53x = 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. -30 + -53x + -1x = 408 + x + -1x Combine like terms: -53x + -1x = -54x -30 + -54x = 408 + x + -1x Combine like terms: x + -1x = 0 -30 + -54x = 408 + 0 -30 + -54x = 408 Add '30' to each side of the equation. -30 + 30 + -54x = 408 + 30 Combine like terms: -30 + 30 = 0 0 + -54x = 408 + 30 -54x = 408 + 30 Combine like terms: 408 + 30 = 438 -54x = 438 Divide each side by '-54'. x = -8.111111111 Simplifying x = -8.111111111
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