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Simplifying 0.75(x + -120) = 0.25(x + -30) Reorder the terms: 0.75(-120 + x) = 0.25(x + -30) (-120 * 0.75 + x * 0.75) = 0.25(x + -30) (-90 + 0.75x) = 0.25(x + -30) Reorder the terms: -90 + 0.75x = 0.25(-30 + x) -90 + 0.75x = (-30 * 0.25 + x * 0.25) -90 + 0.75x = (-7.5 + 0.25x) Solving -90 + 0.75x = -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 + 0.75x + -0.25x = -7.5 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x -90 + 0.5x = -7.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -90 + 0.5x = -7.5 + 0.00 -90 + 0.5x = -7.5 Add '90' to each side of the equation. -90 + 90 + 0.5x = -7.5 + 90 Combine like terms: -90 + 90 = 0 0 + 0.5x = -7.5 + 90 0.5x = -7.5 + 90 Combine like terms: -7.5 + 90 = 82.5 0.5x = 82.5 Divide each side by '0.5'. x = 165 Simplifying x = 165
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