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Simplifying 5x + 2x + -23 = 1 + -1x + -4x Reorder the terms: -23 + 5x + 2x = 1 + -1x + -4x Combine like terms: 5x + 2x = 7x -23 + 7x = 1 + -1x + -4x Combine like terms: -1x + -4x = -5x -23 + 7x = 1 + -5x Solving -23 + 7x = 1 + -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. -23 + 7x + 5x = 1 + -5x + 5x Combine like terms: 7x + 5x = 12x -23 + 12x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + 12x = 1 + 0 -23 + 12x = 1 Add '23' to each side of the equation. -23 + 23 + 12x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 1 + 23 12x = 1 + 23 Combine like terms: 1 + 23 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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