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Simplifying 0.5x + 90 = 0.25(x + 30) Reorder the terms: 90 + 0.5x = 0.25(x + 30) Reorder the terms: 90 + 0.5x = 0.25(30 + x) 90 + 0.5x = (30 * 0.25 + x * 0.25) 90 + 0.5x = (7.5 + 0.25x) Solving 90 + 0.5x = 7.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 90 + 0.5x + -0.25x = 7.5 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 90 + 0.25x = 7.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 90 + 0.25x = 7.5 + 0.00 90 + 0.25x = 7.5 Add '-90' to each side of the equation. 90 + -90 + 0.25x = 7.5 + -90 Combine like terms: 90 + -90 = 0 0 + 0.25x = 7.5 + -90 0.25x = 7.5 + -90 Combine like terms: 7.5 + -90 = -82.5 0.25x = -82.5 Divide each side by '0.25'. x = -330 Simplifying x = -330
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