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Simplifying -6(9x + 5) + -3x + 4 = -408 + x Reorder the terms: -6(5 + 9x) + -3x + 4 = -408 + x (5 * -6 + 9x * -6) + -3x + 4 = -408 + x (-30 + -54x) + -3x + 4 = -408 + x Reorder the terms: -30 + 4 + -54x + -3x = -408 + x Combine like terms: -30 + 4 = -26 -26 + -54x + -3x = -408 + x Combine like terms: -54x + -3x = -57x -26 + -57x = -408 + x Solving -26 + -57x = -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. -26 + -57x + -1x = -408 + x + -1x Combine like terms: -57x + -1x = -58x -26 + -58x = -408 + x + -1x Combine like terms: x + -1x = 0 -26 + -58x = -408 + 0 -26 + -58x = -408 Add '26' to each side of the equation. -26 + 26 + -58x = -408 + 26 Combine like terms: -26 + 26 = 0 0 + -58x = -408 + 26 -58x = -408 + 26 Combine like terms: -408 + 26 = -382 -58x = -382 Divide each side by '-58'. x = 6.586206897 Simplifying x = 6.586206897
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