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Simplifying 0.55x + 0.05(8 + -1x) = 0.10(-46) 0.55x + (8 * 0.05 + -1x * 0.05) = 0.10(-46) 0.55x + (0.4 + -0.05x) = 0.10(-46) Reorder the terms: 0.4 + 0.55x + -0.05x = 0.10(-46) Combine like terms: 0.55x + -0.05x = 0.5x 0.4 + 0.5x = 0.10(-46) Multiply 0.10 * -46 0.4 + 0.5x = -4.6 Solving 0.4 + 0.5x = -4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.5x = -4.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.5x = -4.6 + -0.4 0.5x = -4.6 + -0.4 Combine like terms: -4.6 + -0.4 = -5 0.5x = -5 Divide each side by '0.5'. x = -10 Simplifying x = -10
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