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Simplifying 3x + 7(2x + -12) = 1 Reorder the terms: 3x + 7(-12 + 2x) = 1 3x + (-12 * 7 + 2x * 7) = 1 3x + (-84 + 14x) = 1 Reorder the terms: -84 + 3x + 14x = 1 Combine like terms: 3x + 14x = 17x -84 + 17x = 1 Solving -84 + 17x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 17x = 1 + 84 Combine like terms: -84 + 84 = 0 0 + 17x = 1 + 84 17x = 1 + 84 Combine like terms: 1 + 84 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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