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Simplifying 0.35x + 0.05(2 + -1x) = 0.10(-53) 0.35x + (2 * 0.05 + -1x * 0.05) = 0.10(-53) 0.35x + (0.1 + -0.05x) = 0.10(-53) Reorder the terms: 0.1 + 0.35x + -0.05x = 0.10(-53) Combine like terms: 0.35x + -0.05x = 0.3x 0.1 + 0.3x = 0.10(-53) Multiply 0.10 * -53 0.1 + 0.3x = -5.3 Solving 0.1 + 0.3x = -5.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.3x = -5.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.3x = -5.3 + -0.1 0.3x = -5.3 + -0.1 Combine like terms: -5.3 + -0.1 = -5.4 0.3x = -5.4 Divide each side by '0.3'. x = -18 Simplifying x = -18
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