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