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Simplifying 9(0.5x + 2) = 3(2.25x + 27) Reorder the terms: 9(2 + 0.5x) = 3(2.25x + 27) (2 * 9 + 0.5x * 9) = 3(2.25x + 27) (18 + 4.5x) = 3(2.25x + 27) Reorder the terms: 18 + 4.5x = 3(27 + 2.25x) 18 + 4.5x = (27 * 3 + 2.25x * 3) 18 + 4.5x = (81 + 6.75x) Solving 18 + 4.5x = 81 + 6.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75x' to each side of the equation. 18 + 4.5x + -6.75x = 81 + 6.75x + -6.75x Combine like terms: 4.5x + -6.75x = -2.25x 18 + -2.25x = 81 + 6.75x + -6.75x Combine like terms: 6.75x + -6.75x = 0.00 18 + -2.25x = 81 + 0.00 18 + -2.25x = 81 Add '-18' to each side of the equation. 18 + -18 + -2.25x = 81 + -18 Combine like terms: 18 + -18 = 0 0 + -2.25x = 81 + -18 -2.25x = 81 + -18 Combine like terms: 81 + -18 = 63 -2.25x = 63 Divide each side by '-2.25'. x = -28 Simplifying x = -28
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