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Simplifying 2 + 3(x + 1) = 9 + -3 + 2x Reorder the terms: 2 + 3(1 + x) = 9 + -3 + 2x 2 + (1 * 3 + x * 3) = 9 + -3 + 2x 2 + (3 + 3x) = 9 + -3 + 2x Combine like terms: 2 + 3 = 5 5 + 3x = 9 + -3 + 2x Combine like terms: 9 + -3 = 6 5 + 3x = 6 + 2x Solving 5 + 3x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 6 + 0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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