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Simplifying -2(5x + 4) = -27x + -18 + -7 Reorder the terms: -2(4 + 5x) = -27x + -18 + -7 (4 * -2 + 5x * -2) = -27x + -18 + -7 (-8 + -10x) = -27x + -18 + -7 Reorder the terms: -8 + -10x = -18 + -7 + -27x Combine like terms: -18 + -7 = -25 -8 + -10x = -25 + -27x Solving -8 + -10x = -25 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -8 + -10x + 27x = -25 + -27x + 27x Combine like terms: -10x + 27x = 17x -8 + 17x = -25 + -27x + 27x Combine like terms: -27x + 27x = 0 -8 + 17x = -25 + 0 -8 + 17x = -25 Add '8' to each side of the equation. -8 + 8 + 17x = -25 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = -25 + 8 17x = -25 + 8 Combine like terms: -25 + 8 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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