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Simplifying 0.55x + 0.05(2 + -1x) = 0.10(-39) 0.55x + (2 * 0.05 + -1x * 0.05) = 0.10(-39) 0.55x + (0.1 + -0.05x) = 0.10(-39) Reorder the terms: 0.1 + 0.55x + -0.05x = 0.10(-39) Combine like terms: 0.55x + -0.05x = 0.5x 0.1 + 0.5x = 0.10(-39) Multiply 0.10 * -39 0.1 + 0.5x = -3.9 Solving 0.1 + 0.5x = -3.9 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 + 0.5x = -3.9 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.5x = -3.9 + -0.1 0.5x = -3.9 + -0.1 Combine like terms: -3.9 + -0.1 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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