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Simplifying 51.10 = 0.10(3x) + 0.05x Remove parenthesis around (3x) 51.10 = 0.10 * 3x + 0.05x Multiply 0.10 * 3 51.10 = 0.3x + 0.05x Combine like terms: 0.3x + 0.05x = 0.35x 51.10 = 0.35x Solving 51.10 = 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 51.10 + -0.35x = 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 51.10 + -0.35x = 0.00 Add '-51.10' to each side of the equation. 51.10 + -51.10 + -0.35x = 0.00 + -51.10 Combine like terms: 51.10 + -51.10 = 0.00 0.00 + -0.35x = 0.00 + -51.10 -0.35x = 0.00 + -51.10 Combine like terms: 0.00 + -51.10 = -51.1 -0.35x = -51.1 Divide each side by '-0.35'. x = 146 Simplifying x = 146
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