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Simplifying 0.5x + -1.25 = 3x + 0.5 Reorder the terms: -1.25 + 0.5x = 3x + 0.5 Reorder the terms: -1.25 + 0.5x = 0.5 + 3x Solving -1.25 + 0.5x = 0.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.25 + 0.5x + -3x = 0.5 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -1.25 + -2.5x = 0.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.25 + -2.5x = 0.5 + 0 -1.25 + -2.5x = 0.5 Add '1.25' to each side of the equation. -1.25 + 1.25 + -2.5x = 0.5 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -2.5x = 0.5 + 1.25 -2.5x = 0.5 + 1.25 Combine like terms: 0.5 + 1.25 = 1.75 -2.5x = 1.75 Divide each side by '-2.5'. x = -0.7 Simplifying x = -0.7
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