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Simplifying -5(x + 6) + -41 = 8 + -54 Reorder the terms: -5(6 + x) + -41 = 8 + -54 (6 * -5 + x * -5) + -41 = 8 + -54 (-30 + -5x) + -41 = 8 + -54 Reorder the terms: -30 + -41 + -5x = 8 + -54 Combine like terms: -30 + -41 = -71 -71 + -5x = 8 + -54 Combine like terms: 8 + -54 = -46 -71 + -5x = -46 Solving -71 + -5x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + -5x = -46 + 71 Combine like terms: -71 + 71 = 0 0 + -5x = -46 + 71 -5x = -46 + 71 Combine like terms: -46 + 71 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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