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Simplifying 0.4(5x + -1470) = x Reorder the terms: 0.4(-1470 + 5x) = x (-1470 * 0.4 + 5x * 0.4) = x (-588 + 2x) = x Solving -588 + 2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -588 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x -588 + 1x = x + -1x Combine like terms: x + -1x = 0 -588 + 1x = 0 Add '588' to each side of the equation. -588 + 588 + 1x = 0 + 588 Combine like terms: -588 + 588 = 0 0 + 1x = 0 + 588 1x = 0 + 588 Combine like terms: 0 + 588 = 588 1x = 588 Divide each side by '1'. x = 588 Simplifying x = 588
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