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Simplifying 5x + -7 + 2x = 3x + -2 + 5 Reorder the terms: -7 + 5x + 2x = 3x + -2 + 5 Combine like terms: 5x + 2x = 7x -7 + 7x = 3x + -2 + 5 Reorder the terms: -7 + 7x = -2 + 5 + 3x Combine like terms: -2 + 5 = 3 -7 + 7x = 3 + 3x Solving -7 + 7x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 7x + -3x = 3 + 3x + -3x Combine like terms: 7x + -3x = 4x -7 + 4x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 4x = 3 + 0 -7 + 4x = 3 Add '7' to each side of the equation. -7 + 7 + 4x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 3 + 7 4x = 3 + 7 Combine like terms: 3 + 7 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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