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Simplifying 2(3x + -2) + 6(x + 1) + 12 = 50 Reorder the terms: 2(-2 + 3x) + 6(x + 1) + 12 = 50 (-2 * 2 + 3x * 2) + 6(x + 1) + 12 = 50 (-4 + 6x) + 6(x + 1) + 12 = 50 Reorder the terms: -4 + 6x + 6(1 + x) + 12 = 50 -4 + 6x + (1 * 6 + x * 6) + 12 = 50 -4 + 6x + (6 + 6x) + 12 = 50 Reorder the terms: -4 + 6 + 12 + 6x + 6x = 50 Combine like terms: -4 + 6 = 2 2 + 12 + 6x + 6x = 50 Combine like terms: 2 + 12 = 14 14 + 6x + 6x = 50 Combine like terms: 6x + 6x = 12x 14 + 12x = 50 Solving 14 + 12x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12x = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 50 + -14 12x = 50 + -14 Combine like terms: 50 + -14 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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