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Simplifying 16.25(x + 8) = 9(x + 2) Reorder the terms: 16.25(8 + x) = 9(x + 2) (8 * 16.25 + x * 16.25) = 9(x + 2) (130 + 16.25x) = 9(x + 2) Reorder the terms: 130 + 16.25x = 9(2 + x) 130 + 16.25x = (2 * 9 + x * 9) 130 + 16.25x = (18 + 9x) Solving 130 + 16.25x = 18 + 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. 130 + 16.25x + -9x = 18 + 9x + -9x Combine like terms: 16.25x + -9x = 7.25x 130 + 7.25x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 130 + 7.25x = 18 + 0 130 + 7.25x = 18 Add '-130' to each side of the equation. 130 + -130 + 7.25x = 18 + -130 Combine like terms: 130 + -130 = 0 0 + 7.25x = 18 + -130 7.25x = 18 + -130 Combine like terms: 18 + -130 = -112 7.25x = -112 Divide each side by '7.25'. x = -15.44827586 Simplifying x = -15.44827586
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