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Simplifying 3x + -6 + 1 = -2x + -5 + 5 Reorder the terms: -6 + 1 + 3x = -2x + -5 + 5 Combine like terms: -6 + 1 = -5 -5 + 3x = -2x + -5 + 5 Reorder the terms: -5 + 3x = -5 + 5 + -2x Combine like terms: -5 + 5 = 0 -5 + 3x = 0 + -2x -5 + 3x = -2x Solving -5 + 3x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = 0 Add '5' to each side of the equation. -5 + 5 + 5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 0 + 5 5x = 0 + 5 Combine like terms: 0 + 5 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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