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Simplifying 0.25(4X + -3) = 0.05(10X + -9) Reorder the terms: 0.25(-3 + 4X) = 0.05(10X + -9) (-3 * 0.25 + 4X * 0.25) = 0.05(10X + -9) (-0.75 + 1X) = 0.05(10X + -9) Reorder the terms: -0.75 + 1X = 0.05(-9 + 10X) -0.75 + 1X = (-9 * 0.05 + 10X * 0.05) -0.75 + 1X = (-0.45 + 0.5X) Solving -0.75 + 1X = -0.45 + 0.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5X' to each side of the equation. -0.75 + 1X + -0.5X = -0.45 + 0.5X + -0.5X Combine like terms: 1X + -0.5X = 0.5X -0.75 + 0.5X = -0.45 + 0.5X + -0.5X Combine like terms: 0.5X + -0.5X = 0.0 -0.75 + 0.5X = -0.45 + 0.0 -0.75 + 0.5X = -0.45 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.5X = -0.45 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.5X = -0.45 + 0.75 0.5X = -0.45 + 0.75 Combine like terms: -0.45 + 0.75 = 0.3 0.5X = 0.3 Divide each side by '0.5'. X = 0.6 Simplifying X = 0.6
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