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Simplifying 0.3(x + 100) = 0.33x + -210 Reorder the terms: 0.3(100 + x) = 0.33x + -210 (100 * 0.3 + x * 0.3) = 0.33x + -210 (30 + 0.3x) = 0.33x + -210 Reorder the terms: 30 + 0.3x = -210 + 0.33x Solving 30 + 0.3x = -210 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 30 + 0.3x + -0.33x = -210 + 0.33x + -0.33x Combine like terms: 0.3x + -0.33x = -0.03x 30 + -0.03x = -210 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 30 + -0.03x = -210 + 0.00 30 + -0.03x = -210 Add '-30' to each side of the equation. 30 + -30 + -0.03x = -210 + -30 Combine like terms: 30 + -30 = 0 0 + -0.03x = -210 + -30 -0.03x = -210 + -30 Combine like terms: -210 + -30 = -240 -0.03x = -240 Divide each side by '-0.03'. x = 8000 Simplifying x = 8000
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