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Simplifying x + 41 = 5(x + 5) Reorder the terms: 41 + x = 5(x + 5) Reorder the terms: 41 + x = 5(5 + x) 41 + x = (5 * 5 + x * 5) 41 + x = (25 + 5x) Solving 41 + x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 41 + x + -5x = 25 + 5x + -5x Combine like terms: x + -5x = -4x 41 + -4x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -4x = 25 + 0 41 + -4x = 25 Add '-41' to each side of the equation. 41 + -41 + -4x = 25 + -41 Combine like terms: 41 + -41 = 0 0 + -4x = 25 + -41 -4x = 25 + -41 Combine like terms: 25 + -41 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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