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Simplifying 0.13x + 0.7(x + 200) = 480 Reorder the terms: 0.13x + 0.7(200 + x) = 480 0.13x + (200 * 0.7 + x * 0.7) = 480 0.13x + (140 + 0.7x) = 480 Reorder the terms: 140 + 0.13x + 0.7x = 480 Combine like terms: 0.13x + 0.7x = 0.83x 140 + 0.83x = 480 Solving 140 + 0.83x = 480 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 0.83x = 480 + -140 Combine like terms: 140 + -140 = 0 0 + 0.83x = 480 + -140 0.83x = 480 + -140 Combine like terms: 480 + -140 = 340 0.83x = 340 Divide each side by '0.83'. x = 409.6385542 Simplifying x = 409.6385542
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