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Simplifying -7(5 + x) = x + 41 (5 * -7 + x * -7) = x + 41 (-35 + -7x) = x + 41 Reorder the terms: -35 + -7x = 41 + x Solving -35 + -7x = 41 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -35 + -7x + -1x = 41 + x + -1x Combine like terms: -7x + -1x = -8x -35 + -8x = 41 + x + -1x Combine like terms: x + -1x = 0 -35 + -8x = 41 + 0 -35 + -8x = 41 Add '35' to each side of the equation. -35 + 35 + -8x = 41 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = 41 + 35 -8x = 41 + 35 Combine like terms: 41 + 35 = 76 -8x = 76 Divide each side by '-8'. x = -9.5 Simplifying x = -9.5
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