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Simplifying 4x + 7(3x + -3) = 9 + -5x Reorder the terms: 4x + 7(-3 + 3x) = 9 + -5x 4x + (-3 * 7 + 3x * 7) = 9 + -5x 4x + (-21 + 21x) = 9 + -5x Reorder the terms: -21 + 4x + 21x = 9 + -5x Combine like terms: 4x + 21x = 25x -21 + 25x = 9 + -5x Solving -21 + 25x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + 25x + 5x = 9 + -5x + 5x Combine like terms: 25x + 5x = 30x -21 + 30x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 30x = 9 + 0 -21 + 30x = 9 Add '21' to each side of the equation. -21 + 21 + 30x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 30x = 9 + 21 30x = 9 + 21 Combine like terms: 9 + 21 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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