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