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Simplifying 0.5x + 0.25 = 2x + 12 Reorder the terms: 0.25 + 0.5x = 2x + 12 Reorder the terms: 0.25 + 0.5x = 12 + 2x Solving 0.25 + 0.5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.25 + 0.5x + -2x = 12 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 0.25 + -1.5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 0.25 + -1.5x = 12 + 0 0.25 + -1.5x = 12 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -1.5x = 12 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1.5x = 12 + -0.25 -1.5x = 12 + -0.25 Combine like terms: 12 + -0.25 = 11.75 -1.5x = 11.75 Divide each side by '-1.5'. x = -7.833333333 Simplifying x = -7.833333333
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