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Simplifying 3(x + 1) + 1 + 2 = 2(2x + 2) + x Reorder the terms: 3(1 + x) + 1 + 2 = 2(2x + 2) + x (1 * 3 + x * 3) + 1 + 2 = 2(2x + 2) + x (3 + 3x) + 1 + 2 = 2(2x + 2) + x Reorder the terms: 3 + 1 + 2 + 3x = 2(2x + 2) + x Combine like terms: 3 + 1 = 4 4 + 2 + 3x = 2(2x + 2) + x Combine like terms: 4 + 2 = 6 6 + 3x = 2(2x + 2) + x Reorder the terms: 6 + 3x = 2(2 + 2x) + x 6 + 3x = (2 * 2 + 2x * 2) + x 6 + 3x = (4 + 4x) + x Combine like terms: 4x + x = 5x 6 + 3x = 4 + 5x Solving 6 + 3x = 4 + 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. 6 + 3x + -5x = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = 4 + 0 6 + -2x = 4 Add '-6' to each side of the equation. 6 + -6 + -2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 4 + -6 -2x = 4 + -6 Combine like terms: 4 + -6 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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