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Simplifying 10(x + -1) + 4(x + 4) + 20 = 82 Reorder the terms: 10(-1 + x) + 4(x + 4) + 20 = 82 (-1 * 10 + x * 10) + 4(x + 4) + 20 = 82 (-10 + 10x) + 4(x + 4) + 20 = 82 Reorder the terms: -10 + 10x + 4(4 + x) + 20 = 82 -10 + 10x + (4 * 4 + x * 4) + 20 = 82 -10 + 10x + (16 + 4x) + 20 = 82 Reorder the terms: -10 + 16 + 20 + 10x + 4x = 82 Combine like terms: -10 + 16 = 6 6 + 20 + 10x + 4x = 82 Combine like terms: 6 + 20 = 26 26 + 10x + 4x = 82 Combine like terms: 10x + 4x = 14x 26 + 14x = 82 Solving 26 + 14x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 14x = 82 + -26 Combine like terms: 26 + -26 = 0 0 + 14x = 82 + -26 14x = 82 + -26 Combine like terms: 82 + -26 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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