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Simplifying 1.25x + 12 = 0.25x + 16 Reorder the terms: 12 + 1.25x = 0.25x + 16 Reorder the terms: 12 + 1.25x = 16 + 0.25x Solving 12 + 1.25x = 16 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 12 + 1.25x + -0.25x = 16 + 0.25x + -0.25x Combine like terms: 1.25x + -0.25x = 1x 12 + 1x = 16 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 12 + 1x = 16 + 0.00 12 + 1x = 16 Add '-12' to each side of the equation. 12 + -12 + 1x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 16 + -12 1x = 16 + -12 Combine like terms: 16 + -12 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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