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