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Simplifying 8 + -1(2 + x) = 3x + -2 8 + (2 * -1 + x * -1) = 3x + -2 8 + (-2 + -1x) = 3x + -2 Combine like terms: 8 + -2 = 6 6 + -1x = 3x + -2 Reorder the terms: 6 + -1x = -2 + 3x Solving 6 + -1x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -1x + -3x = -2 + 3x + -3x Combine like terms: -1x + -3x = -4x 6 + -4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 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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