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Simplifying 0.9x + 0.05(10 + -1x) = 10(-46) 0.9x + (10 * 0.05 + -1x * 0.05) = 10(-46) 0.9x + (0.5 + -0.05x) = 10(-46) Reorder the terms: 0.5 + 0.9x + -0.05x = 10(-46) Combine like terms: 0.9x + -0.05x = 0.85x 0.5 + 0.85x = 10(-46) Multiply 10 * -46 0.5 + 0.85x = -460 Solving 0.5 + 0.85x = -460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.85x = -460 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.85x = -460 + -0.5 0.85x = -460 + -0.5 Combine like terms: -460 + -0.5 = -460.5 0.85x = -460.5 Divide each side by '0.85'. x = -541.7647059 Simplifying x = -541.7647059
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