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Simplifying 7x + -41 = 4x + 40 Reorder the terms: -41 + 7x = 4x + 40 Reorder the terms: -41 + 7x = 40 + 4x Solving -41 + 7x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -41 + 7x + -4x = 40 + 4x + -4x Combine like terms: 7x + -4x = 3x -41 + 3x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 3x = 40 + 0 -41 + 3x = 40 Add '41' to each side of the equation. -41 + 41 + 3x = 40 + 41 Combine like terms: -41 + 41 = 0 0 + 3x = 40 + 41 3x = 40 + 41 Combine like terms: 40 + 41 = 81 3x = 81 Divide each side by '3'. x = 27 Simplifying x = 27
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