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Simplifying 10(18 + 20x) = 7(27 + 25x) (18 * 10 + 20x * 10) = 7(27 + 25x) (180 + 200x) = 7(27 + 25x) 180 + 200x = (27 * 7 + 25x * 7) 180 + 200x = (189 + 175x) Solving 180 + 200x = 189 + 175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175x' to each side of the equation. 180 + 200x + -175x = 189 + 175x + -175x Combine like terms: 200x + -175x = 25x 180 + 25x = 189 + 175x + -175x Combine like terms: 175x + -175x = 0 180 + 25x = 189 + 0 180 + 25x = 189 Add '-180' to each side of the equation. 180 + -180 + 25x = 189 + -180 Combine like terms: 180 + -180 = 0 0 + 25x = 189 + -180 25x = 189 + -180 Combine like terms: 189 + -180 = 9 25x = 9 Divide each side by '25'. x = 0.36 Simplifying x = 0.36
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