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Simplifying 2.5x + 20.5 = 4x + 14 Reorder the terms: 20.5 + 2.5x = 4x + 14 Reorder the terms: 20.5 + 2.5x = 14 + 4x Solving 20.5 + 2.5x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20.5 + 2.5x + -4x = 14 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x 20.5 + -1.5x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 20.5 + -1.5x = 14 + 0 20.5 + -1.5x = 14 Add '-20.5' to each side of the equation. 20.5 + -20.5 + -1.5x = 14 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -1.5x = 14 + -20.5 -1.5x = 14 + -20.5 Combine like terms: 14 + -20.5 = -6.5 -1.5x = -6.5 Divide each side by '-1.5'. x = 4.333333333 Simplifying x = 4.333333333
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