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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 = -378 -54x = -378 Divide each side by '-54'. x = 7 Simplifying x = 7
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