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Simplifying 9x + -1(4x + 5) = 3x + 7 Reorder the terms: 9x + -1(5 + 4x) = 3x + 7 9x + (5 * -1 + 4x * -1) = 3x + 7 9x + (-5 + -4x) = 3x + 7 Reorder the terms: -5 + 9x + -4x = 3x + 7 Combine like terms: 9x + -4x = 5x -5 + 5x = 3x + 7 Reorder the terms: -5 + 5x = 7 + 3x Solving -5 + 5x = 7 + 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. -5 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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