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Simplifying 3x + -7(4x + -12) = -91 Reorder the terms: 3x + -7(-12 + 4x) = -91 3x + (-12 * -7 + 4x * -7) = -91 3x + (84 + -28x) = -91 Reorder the terms: 84 + 3x + -28x = -91 Combine like terms: 3x + -28x = -25x 84 + -25x = -91 Solving 84 + -25x = -91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -25x = -91 + -84 Combine like terms: 84 + -84 = 0 0 + -25x = -91 + -84 -25x = -91 + -84 Combine like terms: -91 + -84 = -175 -25x = -175 Divide each side by '-25'. x = 7 Simplifying x = 7
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