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Simplifying 2.5x + -7 = 0.75x + 14 Reorder the terms: -7 + 2.5x = 0.75x + 14 Reorder the terms: -7 + 2.5x = 14 + 0.75x Solving -7 + 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. -7 + 2.5x + -0.75x = 14 + 0.75x + -0.75x Combine like terms: 2.5x + -0.75x = 1.75x -7 + 1.75x = 14 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -7 + 1.75x = 14 + 0.00 -7 + 1.75x = 14 Add '7' to each side of the equation. -7 + 7 + 1.75x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 1.75x = 14 + 7 1.75x = 14 + 7 Combine like terms: 14 + 7 = 21 1.75x = 21 Divide each side by '1.75'. x = 12 Simplifying x = 12
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