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Simplifying 3x + 1 + -1 = 2x + 5 + -7 Reorder the terms: 1 + -1 + 3x = 2x + 5 + -7 Combine like terms: 1 + -1 = 0 0 + 3x = 2x + 5 + -7 3x = 2x + 5 + -7 Reorder the terms: 3x = 5 + -7 + 2x Combine like terms: 5 + -7 = -2 3x = -2 + 2x Solving 3x = -2 + 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. 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = -2 + 0 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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