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Simplifying 7x + -2x + 4 + -12 = 3x + -5 + 3 Reorder the terms: 4 + -12 + 7x + -2x = 3x + -5 + 3 Combine like terms: 4 + -12 = -8 -8 + 7x + -2x = 3x + -5 + 3 Combine like terms: 7x + -2x = 5x -8 + 5x = 3x + -5 + 3 Reorder the terms: -8 + 5x = -5 + 3 + 3x Combine like terms: -5 + 3 = -2 -8 + 5x = -2 + 3x Solving -8 + 5x = -2 + 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. -8 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x -8 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 2x = -2 + 0 -8 + 2x = -2 Add '8' to each side of the equation. -8 + 8 + 2x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -2 + 8 2x = -2 + 8 Combine like terms: -2 + 8 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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