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Simplifying 0.20x + 0.05(6 + -1x) = 0.1(-3) 0.20x + (6 * 0.05 + -1x * 0.05) = 0.1(-3) 0.20x + (0.3 + -0.05x) = 0.1(-3) Reorder the terms: 0.3 + 0.20x + -0.05x = 0.1(-3) Combine like terms: 0.20x + -0.05x = 0.15x 0.3 + 0.15x = 0.1(-3) Multiply 0.1 * -3 0.3 + 0.15x = -0.3 Solving 0.3 + 0.15x = -0.3 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 + 0.15x = -0.3 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.15x = -0.3 + -0.3 0.15x = -0.3 + -0.3 Combine like terms: -0.3 + -0.3 = -0.6 0.15x = -0.6 Divide each side by '0.15'. x = -4 Simplifying x = -4
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