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Simplifying 7(2x + 6) + -12x = 32 Reorder the terms: 7(6 + 2x) + -12x = 32 (6 * 7 + 2x * 7) + -12x = 32 (42 + 14x) + -12x = 32 Combine like terms: 14x + -12x = 2x 42 + 2x = 32 Solving 42 + 2x = 32 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 + 2x = 32 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 32 + -42 2x = 32 + -42 Combine like terms: 32 + -42 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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