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Simplifying 0.45x + 0.05(6 + -1x) = 0.10(-45) 0.45x + (6 * 0.05 + -1x * 0.05) = 0.10(-45) 0.45x + (0.3 + -0.05x) = 0.10(-45) Reorder the terms: 0.3 + 0.45x + -0.05x = 0.10(-45) Combine like terms: 0.45x + -0.05x = 0.4x 0.3 + 0.4x = 0.10(-45) Multiply 0.10 * -45 0.3 + 0.4x = -4.5 Solving 0.3 + 0.4x = -4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.4x = -4.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.4x = -4.5 + -0.3 0.4x = -4.5 + -0.3 Combine like terms: -4.5 + -0.3 = -4.8 0.4x = -4.8 Divide each side by '0.4'. x = -12 Simplifying x = -12
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