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Simplifying 2.5x + 20 + 80 = 5x + 80 Reorder the terms: 20 + 80 + 2.5x = 5x + 80 Combine like terms: 20 + 80 = 100 100 + 2.5x = 5x + 80 Reorder the terms: 100 + 2.5x = 80 + 5x Solving 100 + 2.5x = 80 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + 2.5x + -5x = 80 + 5x + -5x Combine like terms: 2.5x + -5x = -2.5x 100 + -2.5x = 80 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + -2.5x = 80 + 0 100 + -2.5x = 80 Add '-100' to each side of the equation. 100 + -100 + -2.5x = 80 + -100 Combine like terms: 100 + -100 = 0 0 + -2.5x = 80 + -100 -2.5x = 80 + -100 Combine like terms: 80 + -100 = -20 -2.5x = -20 Divide each side by '-2.5'. x = 8 Simplifying x = 8
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