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Simplifying 5(92 + -5x) = x + -122 (92 * 5 + -5x * 5) = x + -122 (460 + -25x) = x + -122 Reorder the terms: 460 + -25x = -122 + x Solving 460 + -25x = -122 + 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. 460 + -25x + -1x = -122 + x + -1x Combine like terms: -25x + -1x = -26x 460 + -26x = -122 + x + -1x Combine like terms: x + -1x = 0 460 + -26x = -122 + 0 460 + -26x = -122 Add '-460' to each side of the equation. 460 + -460 + -26x = -122 + -460 Combine like terms: 460 + -460 = 0 0 + -26x = -122 + -460 -26x = -122 + -460 Combine like terms: -122 + -460 = -582 -26x = -582 Divide each side by '-26'. x = 22.38461538 Simplifying x = 22.38461538
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