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Simplifying 8(2x + 1) = 9(1 + -1x) Reorder the terms: 8(1 + 2x) = 9(1 + -1x) (1 * 8 + 2x * 8) = 9(1 + -1x) (8 + 16x) = 9(1 + -1x) 8 + 16x = (1 * 9 + -1x * 9) 8 + 16x = (9 + -9x) Solving 8 + 16x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 16x + 9x = 9 + -9x + 9x Combine like terms: 16x + 9x = 25x 8 + 25x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 25x = 9 + 0 8 + 25x = 9 Add '-8' to each side of the equation. 8 + -8 + 25x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 25x = 9 + -8 25x = 9 + -8 Combine like terms: 9 + -8 = 1 25x = 1 Divide each side by '25'. x = 0.04 Simplifying x = 0.04
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