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Simplifying -2x = -14 + -2(-5x + 41) Reorder the terms: -2x = -14 + -2(41 + -5x) -2x = -14 + (41 * -2 + -5x * -2) -2x = -14 + (-82 + 10x) Combine like terms: -14 + -82 = -96 -2x = -96 + 10x Solving -2x = -96 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2x + -10x = -96 + 10x + -10x Combine like terms: -2x + -10x = -12x -12x = -96 + 10x + -10x Combine like terms: 10x + -10x = 0 -12x = -96 + 0 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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