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Simplifying 8 + -1x + 2x = 6 + -3x + 6 Combine like terms: -1x + 2x = 1x 8 + 1x = 6 + -3x + 6 Reorder the terms: 8 + 1x = 6 + 6 + -3x Combine like terms: 6 + 6 = 12 8 + 1x = 12 + -3x Solving 8 + 1x = 12 + -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 + 1x + 3x = 12 + -3x + 3x Combine like terms: 1x + 3x = 4x 8 + 4x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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