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Simplifying 7x + 5 = 4x + 38 Reorder the terms: 5 + 7x = 4x + 38 Reorder the terms: 5 + 7x = 38 + 4x Solving 5 + 7x = 38 + 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. 5 + 7x + -4x = 38 + 4x + -4x Combine like terms: 7x + -4x = 3x 5 + 3x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 3x = 38 + 0 5 + 3x = 38 Add '-5' to each side of the equation. 5 + -5 + 3x = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 38 + -5 3x = 38 + -5 Combine like terms: 38 + -5 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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