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Simplifying 9x + 8 + -3x = 2 + 4x + 2 Reorder the terms: 8 + 9x + -3x = 2 + 4x + 2 Combine like terms: 9x + -3x = 6x 8 + 6x = 2 + 4x + 2 Reorder the terms: 8 + 6x = 2 + 2 + 4x Combine like terms: 2 + 2 = 4 8 + 6x = 4 + 4x Solving 8 + 6x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = 4 + 0 8 + 2x = 4 Add '-8' to each side of the equation. 8 + -8 + 2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 4 + -8 2x = 4 + -8 Combine like terms: 4 + -8 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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