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Simplifying 1000 = x + (x * 0.8) + (x * 0.3) Reorder the terms for easier multiplication: 1000 = x + (0.8x) + (x * 0.3) Reorder the terms for easier multiplication: 1000 = x + (0.8x) + (0.3x) Combine like terms: x + (0.8x) = 1.8x 1000 = 1.8x + (0.3x) Combine like terms: 1.8x + (0.3x) = 2.1x 1000 = 2.1x Solving 1000 = 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. 1000 + -2.1x = 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 1000 + -2.1x = 0.0 Add '-1000' to each side of the equation. 1000 + -1000 + -2.1x = 0.0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -2.1x = 0.0 + -1000 -2.1x = 0.0 + -1000 Combine like terms: 0.0 + -1000 = -1000 -2.1x = -1000 Divide each side by '-2.1'. x = 476.1904762 Simplifying x = 476.1904762
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