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Simplifying 2.5x + 4 = 0.5x + 12 Reorder the terms: 4 + 2.5x = 0.5x + 12 Reorder the terms: 4 + 2.5x = 12 + 0.5x Solving 4 + 2.5x = 12 + 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. 4 + 2.5x + -0.5x = 12 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x 4 + 2x = 12 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 2x = 12 + 0.0 4 + 2x = 12 Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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