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Simplifying 4x + -7(-4x + -7) = -111 Reorder the terms: 4x + -7(-7 + -4x) = -111 4x + (-7 * -7 + -4x * -7) = -111 4x + (49 + 28x) = -111 Reorder the terms: 49 + 4x + 28x = -111 Combine like terms: 4x + 28x = 32x 49 + 32x = -111 Solving 49 + 32x = -111 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 32x = -111 + -49 Combine like terms: 49 + -49 = 0 0 + 32x = -111 + -49 32x = -111 + -49 Combine like terms: -111 + -49 = -160 32x = -160 Divide each side by '32'. x = -5 Simplifying x = -5
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