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Simplifying 0.25x + 18 = 0.75(2x + 5) Reorder the terms: 18 + 0.25x = 0.75(2x + 5) Reorder the terms: 18 + 0.25x = 0.75(5 + 2x) 18 + 0.25x = (5 * 0.75 + 2x * 0.75) 18 + 0.25x = (3.75 + 1.5x) Solving 18 + 0.25x = 3.75 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 18 + 0.25x + -1.5x = 3.75 + 1.5x + -1.5x Combine like terms: 0.25x + -1.5x = -1.25x 18 + -1.25x = 3.75 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 18 + -1.25x = 3.75 + 0.0 18 + -1.25x = 3.75 Add '-18' to each side of the equation. 18 + -18 + -1.25x = 3.75 + -18 Combine like terms: 18 + -18 = 0 0 + -1.25x = 3.75 + -18 -1.25x = 3.75 + -18 Combine like terms: 3.75 + -18 = -14.25 -1.25x = -14.25 Divide each side by '-1.25'. x = 11.4 Simplifying x = 11.4
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