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