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Simplifying 0.7(x + 300) = 0.76x + -258 Reorder the terms: 0.7(300 + x) = 0.76x + -258 (300 * 0.7 + x * 0.7) = 0.76x + -258 (210 + 0.7x) = 0.76x + -258 Reorder the terms: 210 + 0.7x = -258 + 0.76x Solving 210 + 0.7x = -258 + 0.76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.76x' to each side of the equation. 210 + 0.7x + -0.76x = -258 + 0.76x + -0.76x Combine like terms: 0.7x + -0.76x = -0.06x 210 + -0.06x = -258 + 0.76x + -0.76x Combine like terms: 0.76x + -0.76x = 0.00 210 + -0.06x = -258 + 0.00 210 + -0.06x = -258 Add '-210' to each side of the equation. 210 + -210 + -0.06x = -258 + -210 Combine like terms: 210 + -210 = 0 0 + -0.06x = -258 + -210 -0.06x = -258 + -210 Combine like terms: -258 + -210 = -468 -0.06x = -468 Divide each side by '-0.06'. x = 7800 Simplifying x = 7800
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