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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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