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Simplifying 12x + -20 = 5x + 1 + 3x + 11 Reorder the terms: -20 + 12x = 5x + 1 + 3x + 11 Reorder the terms: -20 + 12x = 1 + 11 + 5x + 3x Combine like terms: 1 + 11 = 12 -20 + 12x = 12 + 5x + 3x Combine like terms: 5x + 3x = 8x -20 + 12x = 12 + 8x Solving -20 + 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. -20 + 12x + -8x = 12 + 8x + -8x Combine like terms: 12x + -8x = 4x -20 + 4x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 4x = 12 + 0 -20 + 4x = 12 Add '20' to each side of the equation. -20 + 20 + 4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 12 + 20 4x = 12 + 20 Combine like terms: 12 + 20 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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