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Simplifying 6x + -2x + 6 = 11 + -8x + 1 Reorder the terms: 6 + 6x + -2x = 11 + -8x + 1 Combine like terms: 6x + -2x = 4x 6 + 4x = 11 + -8x + 1 Reorder the terms: 6 + 4x = 11 + 1 + -8x Combine like terms: 11 + 1 = 12 6 + 4x = 12 + -8x Solving 6 + 4x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 4x + 8x = 12 + -8x + 8x Combine like terms: 4x + 8x = 12x 6 + 12x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 12x = 12 + 0 6 + 12x = 12 Add '-6' to each side of the equation. 6 + -6 + 12x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 12 + -6 12x = 12 + -6 Combine like terms: 12 + -6 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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