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Simplifying 6(6x + 67) = 44(6x + 8) Reorder the terms: 6(67 + 6x) = 44(6x + 8) (67 * 6 + 6x * 6) = 44(6x + 8) (402 + 36x) = 44(6x + 8) Reorder the terms: 402 + 36x = 44(8 + 6x) 402 + 36x = (8 * 44 + 6x * 44) 402 + 36x = (352 + 264x) Solving 402 + 36x = 352 + 264x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-264x' to each side of the equation. 402 + 36x + -264x = 352 + 264x + -264x Combine like terms: 36x + -264x = -228x 402 + -228x = 352 + 264x + -264x Combine like terms: 264x + -264x = 0 402 + -228x = 352 + 0 402 + -228x = 352 Add '-402' to each side of the equation. 402 + -402 + -228x = 352 + -402 Combine like terms: 402 + -402 = 0 0 + -228x = 352 + -402 -228x = 352 + -402 Combine like terms: 352 + -402 = -50 -228x = -50 Divide each side by '-228'. x = 0.2192982456 Simplifying x = 0.2192982456
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