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