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Simplifying -42 = 2x + -6(-2x + -14) Reorder the terms: -42 = 2x + -6(-14 + -2x) -42 = 2x + (-14 * -6 + -2x * -6) -42 = 2x + (84 + 12x) Reorder the terms: -42 = 84 + 2x + 12x Combine like terms: 2x + 12x = 14x -42 = 84 + 14x Solving -42 = 84 + 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 + -14x = 84 + 14x + -14x Combine like terms: 14x + -14x = 0 -42 + -14x = 84 + 0 -42 + -14x = 84 Add '42' to each side of the equation. -42 + 42 + -14x = 84 + 42 Combine like terms: -42 + 42 = 0 0 + -14x = 84 + 42 -14x = 84 + 42 Combine like terms: 84 + 42 = 126 -14x = 126 Divide each side by '-14'. x = -9 Simplifying x = -9
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