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Simplifying 6x + -344 = 4(2 + -5x) + -6x Reorder the terms: -344 + 6x = 4(2 + -5x) + -6x -344 + 6x = (2 * 4 + -5x * 4) + -6x -344 + 6x = (8 + -20x) + -6x Combine like terms: -20x + -6x = -26x -344 + 6x = 8 + -26x Solving -344 + 6x = 8 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -344 + 6x + 26x = 8 + -26x + 26x Combine like terms: 6x + 26x = 32x -344 + 32x = 8 + -26x + 26x Combine like terms: -26x + 26x = 0 -344 + 32x = 8 + 0 -344 + 32x = 8 Add '344' to each side of the equation. -344 + 344 + 32x = 8 + 344 Combine like terms: -344 + 344 = 0 0 + 32x = 8 + 344 32x = 8 + 344 Combine like terms: 8 + 344 = 352 32x = 352 Divide each side by '32'. x = 11 Simplifying x = 11
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