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Simplifying -2x + 7(2x + 6) = 150 Reorder the terms: -2x + 7(6 + 2x) = 150 -2x + (6 * 7 + 2x * 7) = 150 -2x + (42 + 14x) = 150 Reorder the terms: 42 + -2x + 14x = 150 Combine like terms: -2x + 14x = 12x 42 + 12x = 150 Solving 42 + 12x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12x = 150 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = 150 + -42 12x = 150 + -42 Combine like terms: 150 + -42 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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