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Simplifying 0.25(4x + -3) = 0.5x + -9 Reorder the terms: 0.25(-3 + 4x) = 0.5x + -9 (-3 * 0.25 + 4x * 0.25) = 0.5x + -9 (-0.75 + 1x) = 0.5x + -9 Reorder the terms: -0.75 + 1x = -9 + 0.5x Solving -0.75 + 1x = -9 + 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 = -9 + 0.5x + -0.5x Combine like terms: 1x + -0.5x = 0.5x -0.75 + 0.5x = -9 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.75 + 0.5x = -9 + 0.0 -0.75 + 0.5x = -9 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.5x = -9 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.5x = -9 + 0.75 0.5x = -9 + 0.75 Combine like terms: -9 + 0.75 = -8.25 0.5x = -8.25 Divide each side by '0.5'. x = -16.5 Simplifying x = -16.5
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