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Simplifying 0.07(x + 300) = 0.06x + 30 Reorder the terms: 0.07(300 + x) = 0.06x + 30 (300 * 0.07 + x * 0.07) = 0.06x + 30 (21 + 0.07x) = 0.06x + 30 Reorder the terms: 21 + 0.07x = 30 + 0.06x Solving 21 + 0.07x = 30 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 21 + 0.07x + -0.06x = 30 + 0.06x + -0.06x Combine like terms: 0.07x + -0.06x = 0.01x 21 + 0.01x = 30 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 21 + 0.01x = 30 + 0.00 21 + 0.01x = 30 Add '-21' to each side of the equation. 21 + -21 + 0.01x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 0.01x = 30 + -21 0.01x = 30 + -21 Combine like terms: 30 + -21 = 9 0.01x = 9 Divide each side by '0.01'. x = 900 Simplifying x = 900
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