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Simplifying 8x + -12 + 2(x + 6) = 11 + -1x Reorder the terms: 8x + -12 + 2(6 + x) = 11 + -1x 8x + -12 + (6 * 2 + x * 2) = 11 + -1x 8x + -12 + (12 + 2x) = 11 + -1x Reorder the terms: -12 + 12 + 8x + 2x = 11 + -1x Combine like terms: -12 + 12 = 0 0 + 8x + 2x = 11 + -1x 8x + 2x = 11 + -1x Combine like terms: 8x + 2x = 10x 10x = 11 + -1x Solving 10x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10x + x = 11 + -1x + x Combine like terms: 10x + x = 11x 11x = 11 + -1x + x Combine like terms: -1x + x = 0 11x = 11 + 0 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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