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Simplifying 3(x + 2) + x = 2(x + 1) Reorder the terms: 3(2 + x) + x = 2(x + 1) (2 * 3 + x * 3) + x = 2(x + 1) (6 + 3x) + x = 2(x + 1) Combine like terms: 3x + x = 4x 6 + 4x = 2(x + 1) Reorder the terms: 6 + 4x = 2(1 + x) 6 + 4x = (1 * 2 + x * 2) 6 + 4x = (2 + 2x) Solving 6 + 4x = 2 + 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. 6 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 2 + 0 6 + 2x = 2 Add '-6' to each side of the equation. 6 + -6 + 2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 2 + -6 2x = 2 + -6 Combine like terms: 2 + -6 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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