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Simplifying 1.25x + 0.75 = -3x + 5 Reorder the terms: 0.75 + 1.25x = -3x + 5 Reorder the terms: 0.75 + 1.25x = 5 + -3x Solving 0.75 + 1.25x = 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. 0.75 + 1.25x + 3x = 5 + -3x + 3x Combine like terms: 1.25x + 3x = 4.25x 0.75 + 4.25x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 0.75 + 4.25x = 5 + 0 0.75 + 4.25x = 5 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 4.25x = 5 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 4.25x = 5 + -0.75 4.25x = 5 + -0.75 Combine like terms: 5 + -0.75 = 4.25 4.25x = 4.25 Divide each side by '4.25'. x = 1 Simplifying x = 1
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