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Simplifying 7x + -8 = -6 + 3x + 2 Reorder the terms: -8 + 7x = -6 + 3x + 2 Reorder the terms: -8 + 7x = -6 + 2 + 3x Combine like terms: -6 + 2 = -4 -8 + 7x = -4 + 3x Solving -8 + 7x = -4 + 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 + 7x + -3x = -4 + 3x + -3x Combine like terms: 7x + -3x = 4x -8 + 4x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 4x = -4 + 0 -8 + 4x = -4 Add '8' to each side of the equation. -8 + 8 + 4x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -4 + 8 4x = -4 + 8 Combine like terms: -4 + 8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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