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Simplifying -0.5x + 1.25 = 3.5x + 0.75 Reorder the terms: 1.25 + -0.5x = 3.5x + 0.75 Reorder the terms: 1.25 + -0.5x = 0.75 + 3.5x Solving 1.25 + -0.5x = 0.75 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 1.25 + -0.5x + -3.5x = 0.75 + 3.5x + -3.5x Combine like terms: -0.5x + -3.5x = -4x 1.25 + -4x = 0.75 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 1.25 + -4x = 0.75 + 0.0 1.25 + -4x = 0.75 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -4x = 0.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -4x = 0.75 + -1.25 -4x = 0.75 + -1.25 Combine like terms: 0.75 + -1.25 = -0.5 -4x = -0.5 Divide each side by '-4'. x = 0.125 Simplifying x = 0.125
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