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Simplifying 3x + 2 + -1(9x + 5) = 3x + 2 Reorder the terms: 3x + 2 + -1(5 + 9x) = 3x + 2 3x + 2 + (5 * -1 + 9x * -1) = 3x + 2 3x + 2 + (-5 + -9x) = 3x + 2 Reorder the terms: 2 + -5 + 3x + -9x = 3x + 2 Combine like terms: 2 + -5 = -3 -3 + 3x + -9x = 3x + 2 Combine like terms: 3x + -9x = -6x -3 + -6x = 3x + 2 Reorder the terms: -3 + -6x = 2 + 3x Solving -3 + -6x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -6x + -3x = 2 + 3x + -3x Combine like terms: -6x + -3x = -9x -3 + -9x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -9x = 2 + 0 -3 + -9x = 2 Add '3' to each side of the equation. -3 + 3 + -9x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 2 + 3 -9x = 2 + 3 Combine like terms: 2 + 3 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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