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Simplifying 90.99 + 72.99(x + -1) = 80.99 + 98.99(x + -1) Reorder the terms: 90.99 + 72.99(-1 + x) = 80.99 + 98.99(x + -1) 90.99 + (-1 * 72.99 + x * 72.99) = 80.99 + 98.99(x + -1) 90.99 + (-72.99 + 72.99x) = 80.99 + 98.99(x + -1) Combine like terms: 90.99 + -72.99 = 18 18 + 72.99x = 80.99 + 98.99(x + -1) Reorder the terms: 18 + 72.99x = 80.99 + 98.99(-1 + x) 18 + 72.99x = 80.99 + (-1 * 98.99 + x * 98.99) 18 + 72.99x = 80.99 + (-98.99 + 98.99x) Combine like terms: 80.99 + -98.99 = -18 18 + 72.99x = -18 + 98.99x Solving 18 + 72.99x = -18 + 98.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98.99x' to each side of the equation. 18 + 72.99x + -98.99x = -18 + 98.99x + -98.99x Combine like terms: 72.99x + -98.99x = -26x 18 + -26x = -18 + 98.99x + -98.99x Combine like terms: 98.99x + -98.99x = 0.00 18 + -26x = -18 + 0.00 18 + -26x = -18 Add '-18' to each side of the equation. 18 + -18 + -26x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -26x = -18 + -18 -26x = -18 + -18 Combine like terms: -18 + -18 = -36 -26x = -36 Divide each side by '-26'. x = 1.384615385 Simplifying x = 1.384615385
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