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Simplifying 8 + -1x + 2 = 6 + -3x + 6 Reorder the terms: 8 + 2 + -1x = 6 + -3x + 6 Combine like terms: 8 + 2 = 10 10 + -1x = 6 + -3x + 6 Reorder the terms: 10 + -1x = 6 + 6 + -3x Combine like terms: 6 + 6 = 12 10 + -1x = 12 + -3x Solving 10 + -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. 10 + -1x + 3x = 12 + -3x + 3x Combine like terms: -1x + 3x = 2x 10 + 2x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 2x = 12 + 0 10 + 2x = 12 Add '-10' to each side of the equation. 10 + -10 + 2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 12 + -10 2x = 12 + -10 Combine like terms: 12 + -10 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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