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Simplifying 0.20x + 0.05(12 + -1x) = 0.10(-3) 0.20x + (12 * 0.05 + -1x * 0.05) = 0.10(-3) 0.20x + (0.6 + -0.05x) = 0.10(-3) Reorder the terms: 0.6 + 0.20x + -0.05x = 0.10(-3) Combine like terms: 0.20x + -0.05x = 0.15x 0.6 + 0.15x = 0.10(-3) Multiply 0.10 * -3 0.6 + 0.15x = -0.3 Solving 0.6 + 0.15x = -0.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.15x = -0.3 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.15x = -0.3 + -0.6 0.15x = -0.3 + -0.6 Combine like terms: -0.3 + -0.6 = -0.9 0.15x = -0.9 Divide each side by '0.15'. x = -6 Simplifying x = -6
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