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Simplifying 8.5 = 2.5 + 3(x + 0.25) Reorder the terms: 8.5 = 2.5 + 3(0.25 + x) 8.5 = 2.5 + (0.25 * 3 + x * 3) 8.5 = 2.5 + (0.75 + 3x) Combine like terms: 2.5 + 0.75 = 3.25 8.5 = 3.25 + 3x Solving 8.5 = 3.25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8.5 + -3x = 3.25 + 3x + -3x Combine like terms: 3x + -3x = 0 8.5 + -3x = 3.25 + 0 8.5 + -3x = 3.25 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -3x = 3.25 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -3x = 3.25 + -8.5 -3x = 3.25 + -8.5 Combine like terms: 3.25 + -8.5 = -5.25 -3x = -5.25 Divide each side by '-3'. x = 1.75 Simplifying x = 1.75
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