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Simplifying 0.35x + 0.05(4 + -1x) = 0.10(-46) 0.35x + (4 * 0.05 + -1x * 0.05) = 0.10(-46) 0.35x + (0.2 + -0.05x) = 0.10(-46) Reorder the terms: 0.2 + 0.35x + -0.05x = 0.10(-46) Combine like terms: 0.35x + -0.05x = 0.3x 0.2 + 0.3x = 0.10(-46) Multiply 0.10 * -46 0.2 + 0.3x = -4.6 Solving 0.2 + 0.3x = -4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.3x = -4.6 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.3x = -4.6 + -0.2 0.3x = -4.6 + -0.2 Combine like terms: -4.6 + -0.2 = -4.8 0.3x = -4.8 Divide each side by '0.3'. x = -16 Simplifying x = -16
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