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Simplifying 2 + 9(5x + 9) = -4 + -5(9x + 8) Reorder the terms: 2 + 9(9 + 5x) = -4 + -5(9x + 8) 2 + (9 * 9 + 5x * 9) = -4 + -5(9x + 8) 2 + (81 + 45x) = -4 + -5(9x + 8) Combine like terms: 2 + 81 = 83 83 + 45x = -4 + -5(9x + 8) Reorder the terms: 83 + 45x = -4 + -5(8 + 9x) 83 + 45x = -4 + (8 * -5 + 9x * -5) 83 + 45x = -4 + (-40 + -45x) Combine like terms: -4 + -40 = -44 83 + 45x = -44 + -45x Solving 83 + 45x = -44 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 83 + 45x + 45x = -44 + -45x + 45x Combine like terms: 45x + 45x = 90x 83 + 90x = -44 + -45x + 45x Combine like terms: -45x + 45x = 0 83 + 90x = -44 + 0 83 + 90x = -44 Add '-83' to each side of the equation. 83 + -83 + 90x = -44 + -83 Combine like terms: 83 + -83 = 0 0 + 90x = -44 + -83 90x = -44 + -83 Combine like terms: -44 + -83 = -127 90x = -127 Divide each side by '90'. x = -1.411111111 Simplifying x = -1.411111111
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