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Simplifying 1.25x + 5 = 1.5x + 1 Reorder the terms: 5 + 1.25x = 1.5x + 1 Reorder the terms: 5 + 1.25x = 1 + 1.5x Solving 5 + 1.25x = 1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 5 + 1.25x + -1.5x = 1 + 1.5x + -1.5x Combine like terms: 1.25x + -1.5x = -0.25x 5 + -0.25x = 1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + -0.25x = 1 + 0.0 5 + -0.25x = 1 Add '-5' to each side of the equation. 5 + -5 + -0.25x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -0.25x = 1 + -5 -0.25x = 1 + -5 Combine like terms: 1 + -5 = -4 -0.25x = -4 Divide each side by '-0.25'. x = 16 Simplifying x = 16
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