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Simplifying 8 + -1(x + 6) = 3x + 6 Reorder the terms: 8 + -1(6 + x) = 3x + 6 8 + (6 * -1 + x * -1) = 3x + 6 8 + (-6 + -1x) = 3x + 6 Combine like terms: 8 + -6 = 2 2 + -1x = 3x + 6 Reorder the terms: 2 + -1x = 6 + 3x Solving 2 + -1x = 6 + 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. 2 + -1x + -3x = 6 + 3x + -3x Combine like terms: -1x + -3x = -4x 2 + -4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -4x = 6 + 0 2 + -4x = 6 Add '-2' to each side of the equation. 2 + -2 + -4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 6 + -2 -4x = 6 + -2 Combine like terms: 6 + -2 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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