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Simplifying 12 = (7x + -9) + -1(11 + -1x) Reorder the terms: 12 = (-9 + 7x) + -1(11 + -1x) Remove parenthesis around (-9 + 7x) 12 = -9 + 7x + -1(11 + -1x) 12 = -9 + 7x + (11 * -1 + -1x * -1) 12 = -9 + 7x + (-11 + 1x) Reorder the terms: 12 = -9 + -11 + 7x + 1x Combine like terms: -9 + -11 = -20 12 = -20 + 7x + 1x Combine like terms: 7x + 1x = 8x 12 = -20 + 8x Solving 12 = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -8x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -8x = -20 + 0 12 + -8x = -20 Add '-12' to each side of the equation. 12 + -12 + -8x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -20 + -12 -8x = -20 + -12 Combine like terms: -20 + -12 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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