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Simplifying 16 + 0.25(x + 8) = 9(x + 2) Reorder the terms: 16 + 0.25(8 + x) = 9(x + 2) 16 + (8 * 0.25 + x * 0.25) = 9(x + 2) 16 + (2 + 0.25x) = 9(x + 2) Combine like terms: 16 + 2 = 18 18 + 0.25x = 9(x + 2) Reorder the terms: 18 + 0.25x = 9(2 + x) 18 + 0.25x = (2 * 9 + x * 9) 18 + 0.25x = (18 + 9x) Add '-18' to each side of the equation. 18 + -18 + 0.25x = 18 + -18 + 9x Combine like terms: 18 + -18 = 0 0 + 0.25x = 18 + -18 + 9x 0.25x = 18 + -18 + 9x Combine like terms: 18 + -18 = 0 0.25x = 0 + 9x 0.25x = 9x Solving 0.25x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 0.25x + -9x = 9x + -9x Combine like terms: 0.25x + -9x = -8.75x -8.75x = 9x + -9x Combine like terms: 9x + -9x = 0 -8.75x = 0 Divide each side by '-8.75'. x = 0 Simplifying x = 0
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