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Simplifying 2.5x + 3.5 = 0.75x + 14 Reorder the terms: 3.5 + 2.5x = 0.75x + 14 Reorder the terms: 3.5 + 2.5x = 14 + 0.75x Solving 3.5 + 2.5x = 14 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 3.5 + 2.5x + -0.75x = 14 + 0.75x + -0.75x Combine like terms: 2.5x + -0.75x = 1.75x 3.5 + 1.75x = 14 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3.5 + 1.75x = 14 + 0.00 3.5 + 1.75x = 14 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 1.75x = 14 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 1.75x = 14 + -3.5 1.75x = 14 + -3.5 Combine like terms: 14 + -3.5 = 10.5 1.75x = 10.5 Divide each side by '1.75'. x = 6 Simplifying x = 6
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