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Simplifying 8(5x + 21.75) = 72x Reorder the terms: 8(21.75 + 5x) = 72x (21.75 * 8 + 5x * 8) = 72x (174 + 40x) = 72x Solving 174 + 40x = 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 174 + 40x + -72x = 72x + -72x Combine like terms: 40x + -72x = -32x 174 + -32x = 72x + -72x Combine like terms: 72x + -72x = 0 174 + -32x = 0 Add '-174' to each side of the equation. 174 + -174 + -32x = 0 + -174 Combine like terms: 174 + -174 = 0 0 + -32x = 0 + -174 -32x = 0 + -174 Combine like terms: 0 + -174 = -174 -32x = -174 Divide each side by '-32'. x = 5.4375 Simplifying x = 5.4375
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