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Simplifying 3x + 2 + -7 = x + 4 + -2 Reorder the terms: 2 + -7 + 3x = x + 4 + -2 Combine like terms: 2 + -7 = -5 -5 + 3x = x + 4 + -2 Reorder the terms: -5 + 3x = 4 + -2 + x Combine like terms: 4 + -2 = 2 -5 + 3x = 2 + x Solving -5 + 3x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = 2 + x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 -5 + 2x = 2 + 0 -5 + 2x = 2 Add '5' to each side of the equation. -5 + 5 + 2x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 2 + 5 2x = 2 + 5 Combine like terms: 2 + 5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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