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Simplifying 0.7(x + 200) = 0.78x + -468 Reorder the terms: 0.7(200 + x) = 0.78x + -468 (200 * 0.7 + x * 0.7) = 0.78x + -468 (140 + 0.7x) = 0.78x + -468 Reorder the terms: 140 + 0.7x = -468 + 0.78x Solving 140 + 0.7x = -468 + 0.78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.78x' to each side of the equation. 140 + 0.7x + -0.78x = -468 + 0.78x + -0.78x Combine like terms: 0.7x + -0.78x = -0.08x 140 + -0.08x = -468 + 0.78x + -0.78x Combine like terms: 0.78x + -0.78x = 0.00 140 + -0.08x = -468 + 0.00 140 + -0.08x = -468 Add '-140' to each side of the equation. 140 + -140 + -0.08x = -468 + -140 Combine like terms: 140 + -140 = 0 0 + -0.08x = -468 + -140 -0.08x = -468 + -140 Combine like terms: -468 + -140 = -608 -0.08x = -608 Divide each side by '-0.08'. x = 7600 Simplifying x = 7600
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