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