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Simplifying 7[4 + -1(4x + -8)] = 84x + 196 Reorder the terms: 7[4 + -1(-8 + 4x)] = 84x + 196 7[4 + (-8 * -1 + 4x * -1)] = 84x + 196 7[4 + (8 + -4x)] = 84x + 196 Combine like terms: 4 + 8 = 12 7[12 + -4x] = 84x + 196 [12 * 7 + -4x * 7] = 84x + 196 [84 + -28x] = 84x + 196 Reorder the terms: 84 + -28x = 196 + 84x Solving 84 + -28x = 196 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 84 + -28x + -84x = 196 + 84x + -84x Combine like terms: -28x + -84x = -112x 84 + -112x = 196 + 84x + -84x Combine like terms: 84x + -84x = 0 84 + -112x = 196 + 0 84 + -112x = 196 Add '-84' to each side of the equation. 84 + -84 + -112x = 196 + -84 Combine like terms: 84 + -84 = 0 0 + -112x = 196 + -84 -112x = 196 + -84 Combine like terms: 196 + -84 = 112 -112x = 112 Divide each side by '-112'. x = -1 Simplifying x = -1
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