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Simplifying 3(x + -2) + 6 = 5x + -12 Reorder the terms: 3(-2 + x) + 6 = 5x + -12 (-2 * 3 + x * 3) + 6 = 5x + -12 (-6 + 3x) + 6 = 5x + -12 Reorder the terms: -6 + 6 + 3x = 5x + -12 Combine like terms: -6 + 6 = 0 0 + 3x = 5x + -12 3x = 5x + -12 Reorder the terms: 3x = -12 + 5x Solving 3x = -12 + 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 = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2x = -12 + 0 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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