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Simplifying (x + 10) * 1.6 + 1.6x = 160 Reorder the terms: (10 + x) * 1.6 + 1.6x = 160 Reorder the terms for easier multiplication: 1.6(10 + x) + 1.6x = 160 (10 * 1.6 + x * 1.6) + 1.6x = 160 (16 + 1.6x) + 1.6x = 160 Combine like terms: 1.6x + 1.6x = 3.2x 16 + 3.2x = 160 Solving 16 + 3.2x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3.2x = 160 + -16 Combine like terms: 16 + -16 = 0 0 + 3.2x = 160 + -16 3.2x = 160 + -16 Combine like terms: 160 + -16 = 144 3.2x = 144 Divide each side by '3.2'. x = 45 Simplifying x = 45
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