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Simplifying 4x + -7(6x + 12) = 182 Reorder the terms: 4x + -7(12 + 6x) = 182 4x + (12 * -7 + 6x * -7) = 182 4x + (-84 + -42x) = 182 Reorder the terms: -84 + 4x + -42x = 182 Combine like terms: 4x + -42x = -38x -84 + -38x = 182 Solving -84 + -38x = 182 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 + -38x = 182 + 84 Combine like terms: -84 + 84 = 0 0 + -38x = 182 + 84 -38x = 182 + 84 Combine like terms: 182 + 84 = 266 -38x = 266 Divide each side by '-38'. x = -7 Simplifying x = -7
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