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Simplifying 5x + 4[-7x + -14] = 82 Reorder the terms: 5x + 4[-14 + -7x] = 82 5x + [-14 * 4 + -7x * 4] = 82 5x + [-56 + -28x] = 82 Reorder the terms: -56 + 5x + -28x = 82 Combine like terms: 5x + -28x = -23x -56 + -23x = 82 Solving -56 + -23x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -23x = 82 + 56 Combine like terms: -56 + 56 = 0 0 + -23x = 82 + 56 -23x = 82 + 56 Combine like terms: 82 + 56 = 138 -23x = 138 Divide each side by '-23'. x = -6 Simplifying x = -6
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