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Simplifying 12(8 + -11x) + 7x = -7x + -1(14x + 8) (8 * 12 + -11x * 12) + 7x = -7x + -1(14x + 8) (96 + -132x) + 7x = -7x + -1(14x + 8) Combine like terms: -132x + 7x = -125x 96 + -125x = -7x + -1(14x + 8) Reorder the terms: 96 + -125x = -7x + -1(8 + 14x) 96 + -125x = -7x + (8 * -1 + 14x * -1) 96 + -125x = -7x + (-8 + -14x) Reorder the terms: 96 + -125x = -8 + -7x + -14x Combine like terms: -7x + -14x = -21x 96 + -125x = -8 + -21x Solving 96 + -125x = -8 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 96 + -125x + 21x = -8 + -21x + 21x Combine like terms: -125x + 21x = -104x 96 + -104x = -8 + -21x + 21x Combine like terms: -21x + 21x = 0 96 + -104x = -8 + 0 96 + -104x = -8 Add '-96' to each side of the equation. 96 + -96 + -104x = -8 + -96 Combine like terms: 96 + -96 = 0 0 + -104x = -8 + -96 -104x = -8 + -96 Combine like terms: -8 + -96 = -104 -104x = -104 Divide each side by '-104'. x = 1 Simplifying x = 1
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