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Simplifying 4x + 41 = 7x + 17 Reorder the terms: 41 + 4x = 7x + 17 Reorder the terms: 41 + 4x = 17 + 7x Solving 41 + 4x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 41 + 4x + -7x = 17 + 7x + -7x Combine like terms: 4x + -7x = -3x 41 + -3x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 41 + -3x = 17 + 0 41 + -3x = 17 Add '-41' to each side of the equation. 41 + -41 + -3x = 17 + -41 Combine like terms: 41 + -41 = 0 0 + -3x = 17 + -41 -3x = 17 + -41 Combine like terms: 17 + -41 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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