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Simplifying 1.25(x + 1) = (x + -1) Reorder the terms: 1.25(1 + x) = (x + -1) (1 * 1.25 + x * 1.25) = (x + -1) (1.25 + 1.25x) = (x + -1) Reorder the terms: 1.25 + 1.25x = (-1 + x) Remove parenthesis around (-1 + x) 1.25 + 1.25x = -1 + x Solving 1.25 + 1.25x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.25 + 1.25x + -1x = -1 + x + -1x Combine like terms: 1.25x + -1x = 0.25x 1.25 + 0.25x = -1 + x + -1x Combine like terms: x + -1x = 0 1.25 + 0.25x = -1 + 0 1.25 + 0.25x = -1 Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.25x = -1 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.25x = -1 + -1.25 0.25x = -1 + -1.25 Combine like terms: -1 + -1.25 = -2.25 0.25x = -2.25 Divide each side by '0.25'. x = -9 Simplifying x = -9
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