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Simplifying 6(2x + 4) + 2(6 + -7x) = 2 Reorder the terms: 6(4 + 2x) + 2(6 + -7x) = 2 (4 * 6 + 2x * 6) + 2(6 + -7x) = 2 (24 + 12x) + 2(6 + -7x) = 2 24 + 12x + (6 * 2 + -7x * 2) = 2 24 + 12x + (12 + -14x) = 2 Reorder the terms: 24 + 12 + 12x + -14x = 2 Combine like terms: 24 + 12 = 36 36 + 12x + -14x = 2 Combine like terms: 12x + -14x = -2x 36 + -2x = 2 Solving 36 + -2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -2x = 2 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 2 + -36 -2x = 2 + -36 Combine like terms: 2 + -36 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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