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Simplifying 0.35x + 0.05(14 + -1x) = 0.10(-41) 0.35x + (14 * 0.05 + -1x * 0.05) = 0.10(-41) 0.35x + (0.7 + -0.05x) = 0.10(-41) Reorder the terms: 0.7 + 0.35x + -0.05x = 0.10(-41) Combine like terms: 0.35x + -0.05x = 0.3x 0.7 + 0.3x = 0.10(-41) Multiply 0.10 * -41 0.7 + 0.3x = -4.1 Solving 0.7 + 0.3x = -4.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.3x = -4.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.3x = -4.1 + -0.7 0.3x = -4.1 + -0.7 Combine like terms: -4.1 + -0.7 = -4.8 0.3x = -4.8 Divide each side by '0.3'. x = -16 Simplifying x = -16
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