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Simplifying 3.2 + x = 0.25(x + 32) Reorder the terms: 3.2 + x = 0.25(32 + x) 3.2 + x = (32 * 0.25 + x * 0.25) 3.2 + x = (8 + 0.25x) Solving 3.2 + x = 8 + 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. 3.2 + x + -0.25x = 8 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x 3.2 + 0.75x = 8 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 3.2 + 0.75x = 8 + 0.00 3.2 + 0.75x = 8 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.75x = 8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.75x = 8 + -3.2 0.75x = 8 + -3.2 Combine like terms: 8 + -3.2 = 4.8 0.75x = 4.8 Divide each side by '0.75'. x = 6.4 Simplifying x = 6.4
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