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Simplifying 82 = 10(x + -1) + 4x + 14 + 22 Reorder the terms: 82 = 10(-1 + x) + 4x + 14 + 22 82 = (-1 * 10 + x * 10) + 4x + 14 + 22 82 = (-10 + 10x) + 4x + 14 + 22 Reorder the terms: 82 = -10 + 14 + 22 + 10x + 4x Combine like terms: -10 + 14 = 4 82 = 4 + 22 + 10x + 4x Combine like terms: 4 + 22 = 26 82 = 26 + 10x + 4x Combine like terms: 10x + 4x = 14x 82 = 26 + 14x Solving 82 = 26 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 82 + -14x = 26 + 14x + -14x Combine like terms: 14x + -14x = 0 82 + -14x = 26 + 0 82 + -14x = 26 Add '-82' to each side of the equation. 82 + -82 + -14x = 26 + -82 Combine like terms: 82 + -82 = 0 0 + -14x = 26 + -82 -14x = 26 + -82 Combine like terms: 26 + -82 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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