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Simplifying -6(9x + 5) + -3 + 4x = -408 + x Reorder the terms: -6(5 + 9x) + -3 + 4x = -408 + x (5 * -6 + 9x * -6) + -3 + 4x = -408 + x (-30 + -54x) + -3 + 4x = -408 + x Reorder the terms: -30 + -3 + -54x + 4x = -408 + x Combine like terms: -30 + -3 = -33 -33 + -54x + 4x = -408 + x Combine like terms: -54x + 4x = -50x -33 + -50x = -408 + x Solving -33 + -50x = -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. -33 + -50x + -1x = -408 + x + -1x Combine like terms: -50x + -1x = -51x -33 + -51x = -408 + x + -1x Combine like terms: x + -1x = 0 -33 + -51x = -408 + 0 -33 + -51x = -408 Add '33' to each side of the equation. -33 + 33 + -51x = -408 + 33 Combine like terms: -33 + 33 = 0 0 + -51x = -408 + 33 -51x = -408 + 33 Combine like terms: -408 + 33 = -375 -51x = -375 Divide each side by '-51'. x = 7.352941176 Simplifying x = 7.352941176
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