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Simplifying 0.05x + -0.20(30 + x) = 0.30(30) 0.05x + (30 * -0.20 + x * -0.20) = 0.30(30) 0.05x + (-6 + -0.20x) = 0.30(30) Reorder the terms: -6 + 0.05x + -0.20x = 0.30(30) Combine like terms: 0.05x + -0.20x = -0.15x -6 + -0.15x = 0.30(30) Multiply 0.30 * 30 -6 + -0.15x = 9 Solving -6 + -0.15x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -0.15x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -0.15x = 9 + 6 -0.15x = 9 + 6 Combine like terms: 9 + 6 = 15 -0.15x = 15 Divide each side by '-0.15'. x = -100 Simplifying x = -100
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