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Simplifying -2(6x + 5) = 18 + 2x Reorder the terms: -2(5 + 6x) = 18 + 2x (5 * -2 + 6x * -2) = 18 + 2x (-10 + -12x) = 18 + 2x Solving -10 + -12x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -12x + -2x = 18 + 2x + -2x Combine like terms: -12x + -2x = -14x -10 + -14x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -14x = 18 + 0 -10 + -14x = 18 Add '10' to each side of the equation. -10 + 10 + -14x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = 18 + 10 -14x = 18 + 10 Combine like terms: 18 + 10 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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