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Simplifying -7(2x + -8) = -3x + -32 Reorder the terms: -7(-8 + 2x) = -3x + -32 (-8 * -7 + 2x * -7) = -3x + -32 (56 + -14x) = -3x + -32 Reorder the terms: 56 + -14x = -32 + -3x Solving 56 + -14x = -32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 56 + -14x + 3x = -32 + -3x + 3x Combine like terms: -14x + 3x = -11x 56 + -11x = -32 + -3x + 3x Combine like terms: -3x + 3x = 0 56 + -11x = -32 + 0 56 + -11x = -32 Add '-56' to each side of the equation. 56 + -56 + -11x = -32 + -56 Combine like terms: 56 + -56 = 0 0 + -11x = -32 + -56 -11x = -32 + -56 Combine like terms: -32 + -56 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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