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Simplifying 0.35 + 0.05(10 + -1x) = 0.10(-49) 0.35 + (10 * 0.05 + -1x * 0.05) = 0.10(-49) 0.35 + (0.5 + -0.05x) = 0.10(-49) Combine like terms: 0.35 + 0.5 = 0.85 0.85 + -0.05x = 0.10(-49) Multiply 0.10 * -49 0.85 + -0.05x = -4.9 Solving 0.85 + -0.05x = -4.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85' to each side of the equation. 0.85 + -0.85 + -0.05x = -4.9 + -0.85 Combine like terms: 0.85 + -0.85 = 0.00 0.00 + -0.05x = -4.9 + -0.85 -0.05x = -4.9 + -0.85 Combine like terms: -4.9 + -0.85 = -5.75 -0.05x = -5.75 Divide each side by '-0.05'. x = 115 Simplifying x = 115
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