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Simplifying 1.5x + 2 = 1.25x + 6 Reorder the terms: 2 + 1.5x = 1.25x + 6 Reorder the terms: 2 + 1.5x = 6 + 1.25x Solving 2 + 1.5x = 6 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 2 + 1.5x + -1.25x = 6 + 1.25x + -1.25x Combine like terms: 1.5x + -1.25x = 0.25x 2 + 0.25x = 6 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 2 + 0.25x = 6 + 0.00 2 + 0.25x = 6 Add '-2' to each side of the equation. 2 + -2 + 0.25x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.25x = 6 + -2 0.25x = 6 + -2 Combine like terms: 6 + -2 = 4 0.25x = 4 Divide each side by '0.25'. x = 16 Simplifying x = 16
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