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Simplifying 2 + 3(x + 1) = 5x + 1 Reorder the terms: 2 + 3(1 + x) = 5x + 1 2 + (1 * 3 + x * 3) = 5x + 1 2 + (3 + 3x) = 5x + 1 Combine like terms: 2 + 3 = 5 5 + 3x = 5x + 1 Reorder the terms: 5 + 3x = 1 + 5x Solving 5 + 3x = 1 + 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. 5 + 3x + -5x = 1 + 5x + -5x Combine like terms: 3x + -5x = -2x 5 + -2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -2x = 1 + 0 5 + -2x = 1 Add '-5' to each side of the equation. 5 + -5 + -2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 1 + -5 -2x = 1 + -5 Combine like terms: 1 + -5 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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