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Simplifying -12(x + -12) + 12(x + 2) = x + -21 Reorder the terms: -12(-12 + x) + 12(x + 2) = x + -21 (-12 * -12 + x * -12) + 12(x + 2) = x + -21 (144 + -12x) + 12(x + 2) = x + -21 Reorder the terms: 144 + -12x + 12(2 + x) = x + -21 144 + -12x + (2 * 12 + x * 12) = x + -21 144 + -12x + (24 + 12x) = x + -21 Reorder the terms: 144 + 24 + -12x + 12x = x + -21 Combine like terms: 144 + 24 = 168 168 + -12x + 12x = x + -21 Combine like terms: -12x + 12x = 0 168 + 0 = x + -21 168 = x + -21 Reorder the terms: 168 = -21 + x Solving 168 = -21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 168 + -1x = -21 + x + -1x Combine like terms: x + -1x = 0 168 + -1x = -21 + 0 168 + -1x = -21 Add '-168' to each side of the equation. 168 + -168 + -1x = -21 + -168 Combine like terms: 168 + -168 = 0 0 + -1x = -21 + -168 -1x = -21 + -168 Combine like terms: -21 + -168 = -189 -1x = -189 Divide each side by '-1'. x = 189 Simplifying x = 189
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