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Simplifying -2x + 7(-4x + 12) = -126 Reorder the terms: -2x + 7(12 + -4x) = -126 -2x + (12 * 7 + -4x * 7) = -126 -2x + (84 + -28x) = -126 Reorder the terms: 84 + -2x + -28x = -126 Combine like terms: -2x + -28x = -30x 84 + -30x = -126 Solving 84 + -30x = -126 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 + -30x = -126 + -84 Combine like terms: 84 + -84 = 0 0 + -30x = -126 + -84 -30x = -126 + -84 Combine like terms: -126 + -84 = -210 -30x = -210 Divide each side by '-30'. x = 7 Simplifying x = 7
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