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