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Simplifying 0.55x + 0.05(18 + -1x) = 0.10(-51) 0.55x + (18 * 0.05 + -1x * 0.05) = 0.10(-51) 0.55x + (0.9 + -0.05x) = 0.10(-51) Reorder the terms: 0.9 + 0.55x + -0.05x = 0.10(-51) Combine like terms: 0.55x + -0.05x = 0.5x 0.9 + 0.5x = 0.10(-51) Multiply 0.10 * -51 0.9 + 0.5x = -5.1 Solving 0.9 + 0.5x = -5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.5x = -5.1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.5x = -5.1 + -0.9 0.5x = -5.1 + -0.9 Combine like terms: -5.1 + -0.9 = -6 0.5x = -6 Divide each side by '0.5'. x = -12 Simplifying x = -12
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