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Simplifying 0.75 + 0.05(10 + -1x) = 0.10(-51) 0.75 + (10 * 0.05 + -1x * 0.05) = 0.10(-51) 0.75 + (0.5 + -0.05x) = 0.10(-51) Combine like terms: 0.75 + 0.5 = 1.25 1.25 + -0.05x = 0.10(-51) Multiply 0.10 * -51 1.25 + -0.05x = -5.1 Solving 1.25 + -0.05x = -5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + -0.05x = -5.1 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.05x = -5.1 + -1.25 -0.05x = -5.1 + -1.25 Combine like terms: -5.1 + -1.25 = -6.35 -0.05x = -6.35 Divide each side by '-0.05'. x = 127 Simplifying x = 127
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