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Simplifying -8 + 4x = 0.25(2x + 10) Reorder the terms: -8 + 4x = 0.25(10 + 2x) -8 + 4x = (10 * 0.25 + 2x * 0.25) -8 + 4x = (2.5 + 0.5x) Solving -8 + 4x = 2.5 + 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. -8 + 4x + -0.5x = 2.5 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x -8 + 3.5x = 2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -8 + 3.5x = 2.5 + 0.0 -8 + 3.5x = 2.5 Add '8' to each side of the equation. -8 + 8 + 3.5x = 2.5 + 8 Combine like terms: -8 + 8 = 0 0 + 3.5x = 2.5 + 8 3.5x = 2.5 + 8 Combine like terms: 2.5 + 8 = 10.5 3.5x = 10.5 Divide each side by '3.5'. x = 3 Simplifying x = 3
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