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Simplifying 5.95x + 100 = 35.4025 + 10x Reorder the terms: 100 + 5.95x = 35.4025 + 10x Solving 100 + 5.95x = 35.4025 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 5.95x + -10x = 35.4025 + 10x + -10x Combine like terms: 5.95x + -10x = -4.05x 100 + -4.05x = 35.4025 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -4.05x = 35.4025 + 0 100 + -4.05x = 35.4025 Add '-100' to each side of the equation. 100 + -100 + -4.05x = 35.4025 + -100 Combine like terms: 100 + -100 = 0 0 + -4.05x = 35.4025 + -100 -4.05x = 35.4025 + -100 Combine like terms: 35.4025 + -100 = -64.5975 -4.05x = -64.5975 Divide each side by '-4.05'. x = 15.95 Simplifying x = 15.95
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