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Simplifying 0.667(x + 5) = 0.25(x + 2) Reorder the terms: 0.667(5 + x) = 0.25(x + 2) (5 * 0.667 + x * 0.667) = 0.25(x + 2) (3.335 + 0.667x) = 0.25(x + 2) Reorder the terms: 3.335 + 0.667x = 0.25(2 + x) 3.335 + 0.667x = (2 * 0.25 + x * 0.25) 3.335 + 0.667x = (0.5 + 0.25x) Solving 3.335 + 0.667x = 0.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 3.335 + 0.667x + -0.25x = 0.5 + 0.25x + -0.25x Combine like terms: 0.667x + -0.25x = 0.417x 3.335 + 0.417x = 0.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 3.335 + 0.417x = 0.5 + 0.00 3.335 + 0.417x = 0.5 Add '-3.335' to each side of the equation. 3.335 + -3.335 + 0.417x = 0.5 + -3.335 Combine like terms: 3.335 + -3.335 = 0.000 0.000 + 0.417x = 0.5 + -3.335 0.417x = 0.5 + -3.335 Combine like terms: 0.5 + -3.335 = -2.835 0.417x = -2.835 Divide each side by '0.417'. x = -6.798561151 Simplifying x = -6.798561151
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