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Simplifying 20x + 39 + -8x + -75 = 5x + 9 + 3x + 3 Reorder the terms: 39 + -75 + 20x + -8x = 5x + 9 + 3x + 3 Combine like terms: 39 + -75 = -36 -36 + 20x + -8x = 5x + 9 + 3x + 3 Combine like terms: 20x + -8x = 12x -36 + 12x = 5x + 9 + 3x + 3 Reorder the terms: -36 + 12x = 9 + 3 + 5x + 3x Combine like terms: 9 + 3 = 12 -36 + 12x = 12 + 5x + 3x Combine like terms: 5x + 3x = 8x -36 + 12x = 12 + 8x Solving -36 + 12x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 12x + -8x = 12 + 8x + -8x Combine like terms: 12x + -8x = 4x -36 + 4x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 4x = 12 + 0 -36 + 4x = 12 Add '36' to each side of the equation. -36 + 36 + 4x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = 12 + 36 4x = 12 + 36 Combine like terms: 12 + 36 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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