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Simplifying 9(9x + -5) + 9 = 4x + -2 Reorder the terms: 9(-5 + 9x) + 9 = 4x + -2 (-5 * 9 + 9x * 9) + 9 = 4x + -2 (-45 + 81x) + 9 = 4x + -2 Reorder the terms: -45 + 9 + 81x = 4x + -2 Combine like terms: -45 + 9 = -36 -36 + 81x = 4x + -2 Reorder the terms: -36 + 81x = -2 + 4x Solving -36 + 81x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 81x + -4x = -2 + 4x + -4x Combine like terms: 81x + -4x = 77x -36 + 77x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 77x = -2 + 0 -36 + 77x = -2 Add '36' to each side of the equation. -36 + 36 + 77x = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 77x = -2 + 36 77x = -2 + 36 Combine like terms: -2 + 36 = 34 77x = 34 Divide each side by '77'. x = 0.4415584416 Simplifying x = 0.4415584416
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