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Simplifying -5(x + 9) + -41 = 1 + -47 Reorder the terms: -5(9 + x) + -41 = 1 + -47 (9 * -5 + x * -5) + -41 = 1 + -47 (-45 + -5x) + -41 = 1 + -47 Reorder the terms: -45 + -41 + -5x = 1 + -47 Combine like terms: -45 + -41 = -86 -86 + -5x = 1 + -47 Combine like terms: 1 + -47 = -46 -86 + -5x = -46 Solving -86 + -5x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + -5x = -46 + 86 Combine like terms: -86 + 86 = 0 0 + -5x = -46 + 86 -5x = -46 + 86 Combine like terms: -46 + 86 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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