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Simplifying 15(100) = x(55 + 9) Multiply 15 * 100 1500 = x(55 + 9) Combine like terms: 55 + 9 = 64 1500 = x(64) Reorder the terms for easier multiplication: 1500 = 64x Solving 1500 = 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 1500 + -64x = 64x + -64x Combine like terms: 64x + -64x = 0 1500 + -64x = 0 Add '-1500' to each side of the equation. 1500 + -1500 + -64x = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -64x = 0 + -1500 -64x = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -64x = -1500 Divide each side by '-64'. x = 23.4375 Simplifying x = 23.4375
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