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Simplifying 9x + 2 + -1(4x + 5) = 4x + 3 Reorder the terms: 9x + 2 + -1(5 + 4x) = 4x + 3 9x + 2 + (5 * -1 + 4x * -1) = 4x + 3 9x + 2 + (-5 + -4x) = 4x + 3 Reorder the terms: 2 + -5 + 9x + -4x = 4x + 3 Combine like terms: 2 + -5 = -3 -3 + 9x + -4x = 4x + 3 Combine like terms: 9x + -4x = 5x -3 + 5x = 4x + 3 Reorder the terms: -3 + 5x = 3 + 4x Solving -3 + 5x = 3 + 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. -3 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x -3 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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