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Simplifying 7x + 38 = 5x + 40 Reorder the terms: 38 + 7x = 5x + 40 Reorder the terms: 38 + 7x = 40 + 5x Solving 38 + 7x = 40 + 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. 38 + 7x + -5x = 40 + 5x + -5x Combine like terms: 7x + -5x = 2x 38 + 2x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + 2x = 40 + 0 38 + 2x = 40 Add '-38' to each side of the equation. 38 + -38 + 2x = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 40 + -38 2x = 40 + -38 Combine like terms: 40 + -38 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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