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Simplifying 1.25x + 0.5 = 4 + -4x + 7 Reorder the terms: 0.5 + 1.25x = 4 + -4x + 7 Reorder the terms: 0.5 + 1.25x = 4 + 7 + -4x Combine like terms: 4 + 7 = 11 0.5 + 1.25x = 11 + -4x Solving 0.5 + 1.25x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 0.5 + 1.25x + 4x = 11 + -4x + 4x Combine like terms: 1.25x + 4x = 5.25x 0.5 + 5.25x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 0.5 + 5.25x = 11 + 0 0.5 + 5.25x = 11 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 5.25x = 11 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 5.25x = 11 + -0.5 5.25x = 11 + -0.5 Combine like terms: 11 + -0.5 = 10.5 5.25x = 10.5 Divide each side by '5.25'. x = 2 Simplifying x = 2
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