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Simplifying 80 = 2x + 2.5(x + -1) Reorder the terms: 80 = 2x + 2.5(-1 + x) 80 = 2x + (-1 * 2.5 + x * 2.5) 80 = 2x + (-2.5 + 2.5x) Reorder the terms: 80 = -2.5 + 2x + 2.5x Combine like terms: 2x + 2.5x = 4.5x 80 = -2.5 + 4.5x Solving 80 = -2.5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 80 + -4.5x = -2.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 80 + -4.5x = -2.5 + 0.0 80 + -4.5x = -2.5 Add '-80' to each side of the equation. 80 + -80 + -4.5x = -2.5 + -80 Combine like terms: 80 + -80 = 0 0 + -4.5x = -2.5 + -80 -4.5x = -2.5 + -80 Combine like terms: -2.5 + -80 = -82.5 -4.5x = -82.5 Divide each side by '-4.5'. x = 18.33333333 Simplifying x = 18.33333333
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