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Simplifying x + 18 = 0.75(30 + x) Reorder the terms: 18 + x = 0.75(30 + x) 18 + x = (30 * 0.75 + x * 0.75) 18 + x = (22.5 + 0.75x) Solving 18 + x = 22.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 18 + x + -0.75x = 22.5 + 0.75x + -0.75x Combine like terms: x + -0.75x = 0.25x 18 + 0.25x = 22.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 18 + 0.25x = 22.5 + 0.00 18 + 0.25x = 22.5 Add '-18' to each side of the equation. 18 + -18 + 0.25x = 22.5 + -18 Combine like terms: 18 + -18 = 0 0 + 0.25x = 22.5 + -18 0.25x = 22.5 + -18 Combine like terms: 22.5 + -18 = 4.5 0.25x = 4.5 Divide each side by '0.25'. x = 18 Simplifying x = 18
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