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Simplifying 3 + 2(x + 1) = 3x + 6 Reorder the terms: 3 + 2(1 + x) = 3x + 6 3 + (1 * 2 + x * 2) = 3x + 6 3 + (2 + 2x) = 3x + 6 Combine like terms: 3 + 2 = 5 5 + 2x = 3x + 6 Reorder the terms: 5 + 2x = 6 + 3x Solving 5 + 2x = 6 + 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 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 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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