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Simplifying 2.5x + 7 = 1.75x + 16 Reorder the terms: 7 + 2.5x = 1.75x + 16 Reorder the terms: 7 + 2.5x = 16 + 1.75x Solving 7 + 2.5x = 16 + 1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75x' to each side of the equation. 7 + 2.5x + -1.75x = 16 + 1.75x + -1.75x Combine like terms: 2.5x + -1.75x = 0.75x 7 + 0.75x = 16 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 7 + 0.75x = 16 + 0.00 7 + 0.75x = 16 Add '-7' to each side of the equation. 7 + -7 + 0.75x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 0.75x = 16 + -7 0.75x = 16 + -7 Combine like terms: 16 + -7 = 9 0.75x = 9 Divide each side by '0.75'. x = 12 Simplifying x = 12
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