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Simplifying 6(2x + -9) = 4 + 11x Reorder the terms: 6(-9 + 2x) = 4 + 11x (-9 * 6 + 2x * 6) = 4 + 11x (-54 + 12x) = 4 + 11x Solving -54 + 12x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -54 + 12x + -11x = 4 + 11x + -11x Combine like terms: 12x + -11x = 1x -54 + 1x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 -54 + 1x = 4 + 0 -54 + 1x = 4 Add '54' to each side of the equation. -54 + 54 + 1x = 4 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = 4 + 54 1x = 4 + 54 Combine like terms: 4 + 54 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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