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Simplifying 2x + 5(x + 1) = 3x + 25 Reorder the terms: 2x + 5(1 + x) = 3x + 25 2x + (1 * 5 + x * 5) = 3x + 25 2x + (5 + 5x) = 3x + 25 Reorder the terms: 5 + 2x + 5x = 3x + 25 Combine like terms: 2x + 5x = 7x 5 + 7x = 3x + 25 Reorder the terms: 5 + 7x = 25 + 3x Solving 5 + 7x = 25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 7x + -3x = 25 + 3x + -3x Combine like terms: 7x + -3x = 4x 5 + 4x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 4x = 25 + 0 5 + 4x = 25 Add '-5' to each side of the equation. 5 + -5 + 4x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 25 + -5 4x = 25 + -5 Combine like terms: 25 + -5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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