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Simplifying -6 + -1(x + 8) = -21 + -2x Reorder the terms: -6 + -1(8 + x) = -21 + -2x -6 + (8 * -1 + x * -1) = -21 + -2x -6 + (-8 + -1x) = -21 + -2x Combine like terms: -6 + -8 = -14 -14 + -1x = -21 + -2x Solving -14 + -1x = -21 + -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. -14 + -1x + 2x = -21 + -2x + 2x Combine like terms: -1x + 2x = 1x -14 + 1x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 1x = -21 + 0 -14 + 1x = -21 Add '14' to each side of the equation. -14 + 14 + 1x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -21 + 14 1x = -21 + 14 Combine like terms: -21 + 14 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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