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Simplifying -2x + 7(-4x + 4) = -182 Reorder the terms: -2x + 7(4 + -4x) = -182 -2x + (4 * 7 + -4x * 7) = -182 -2x + (28 + -28x) = -182 Reorder the terms: 28 + -2x + -28x = -182 Combine like terms: -2x + -28x = -30x 28 + -30x = -182 Solving 28 + -30x = -182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -30x = -182 + -28 Combine like terms: 28 + -28 = 0 0 + -30x = -182 + -28 -30x = -182 + -28 Combine like terms: -182 + -28 = -210 -30x = -210 Divide each side by '-30'. x = 7 Simplifying x = 7
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