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Simplifying 4x + 5(3x + -14) = 82 Reorder the terms: 4x + 5(-14 + 3x) = 82 4x + (-14 * 5 + 3x * 5) = 82 4x + (-70 + 15x) = 82 Reorder the terms: -70 + 4x + 15x = 82 Combine like terms: 4x + 15x = 19x -70 + 19x = 82 Solving -70 + 19x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 19x = 82 + 70 Combine like terms: -70 + 70 = 0 0 + 19x = 82 + 70 19x = 82 + 70 Combine like terms: 82 + 70 = 152 19x = 152 Divide each side by '19'. x = 8 Simplifying x = 8
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