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Simplifying -10x + -42 = 14x + 82 Reorder the terms: -42 + -10x = 14x + 82 Reorder the terms: -42 + -10x = 82 + 14x Solving -42 + -10x = 82 + 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. -42 + -10x + -14x = 82 + 14x + -14x Combine like terms: -10x + -14x = -24x -42 + -24x = 82 + 14x + -14x Combine like terms: 14x + -14x = 0 -42 + -24x = 82 + 0 -42 + -24x = 82 Add '42' to each side of the equation. -42 + 42 + -24x = 82 + 42 Combine like terms: -42 + 42 = 0 0 + -24x = 82 + 42 -24x = 82 + 42 Combine like terms: 82 + 42 = 124 -24x = 124 Divide each side by '-24'. x = -5.166666667 Simplifying x = -5.166666667
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