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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 = 51x 30 + 51x + 4x = -408 + x Combine like terms: 51x + 4x = 55x 30 + 55x = -408 + x Solving 30 + 55x = -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 + 55x + -1x = -408 + x + -1x Combine like terms: 55x + -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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