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Simplifying 2(x + 1) + 6(x + -1) = 12 Reorder the terms: 2(1 + x) + 6(x + -1) = 12 (1 * 2 + x * 2) + 6(x + -1) = 12 (2 + 2x) + 6(x + -1) = 12 Reorder the terms: 2 + 2x + 6(-1 + x) = 12 2 + 2x + (-1 * 6 + x * 6) = 12 2 + 2x + (-6 + 6x) = 12 Reorder the terms: 2 + -6 + 2x + 6x = 12 Combine like terms: 2 + -6 = -4 -4 + 2x + 6x = 12 Combine like terms: 2x + 6x = 8x -4 + 8x = 12 Solving -4 + 8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 12 + 4 8x = 12 + 4 Combine like terms: 12 + 4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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