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Simplifying 0.7(x + 200) = 0.76x + -310 Reorder the terms: 0.7(200 + x) = 0.76x + -310 (200 * 0.7 + x * 0.7) = 0.76x + -310 (140 + 0.7x) = 0.76x + -310 Reorder the terms: 140 + 0.7x = -310 + 0.76x Solving 140 + 0.7x = -310 + 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. 140 + 0.7x + -0.76x = -310 + 0.76x + -0.76x Combine like terms: 0.7x + -0.76x = -0.06x 140 + -0.06x = -310 + 0.76x + -0.76x Combine like terms: 0.76x + -0.76x = 0.00 140 + -0.06x = -310 + 0.00 140 + -0.06x = -310 Add '-140' to each side of the equation. 140 + -140 + -0.06x = -310 + -140 Combine like terms: 140 + -140 = 0 0 + -0.06x = -310 + -140 -0.06x = -310 + -140 Combine like terms: -310 + -140 = -450 -0.06x = -450 Divide each side by '-0.06'. x = 7500 Simplifying x = 7500
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