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Simplifying 11x + 13 = 7x + 41 Reorder the terms: 13 + 11x = 7x + 41 Reorder the terms: 13 + 11x = 41 + 7x Solving 13 + 11x = 41 + 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. 13 + 11x + -7x = 41 + 7x + -7x Combine like terms: 11x + -7x = 4x 13 + 4x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 4x = 41 + 0 13 + 4x = 41 Add '-13' to each side of the equation. 13 + -13 + 4x = 41 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 41 + -13 4x = 41 + -13 Combine like terms: 41 + -13 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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