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Simplifying -3x + -25(x + 4) = -9(3x + 2) Reorder the terms: -3x + -25(4 + x) = -9(3x + 2) -3x + (4 * -25 + x * -25) = -9(3x + 2) -3x + (-100 + -25x) = -9(3x + 2) Reorder the terms: -100 + -3x + -25x = -9(3x + 2) Combine like terms: -3x + -25x = -28x -100 + -28x = -9(3x + 2) Reorder the terms: -100 + -28x = -9(2 + 3x) -100 + -28x = (2 * -9 + 3x * -9) -100 + -28x = (-18 + -27x) Solving -100 + -28x = -18 + -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. -100 + -28x + 27x = -18 + -27x + 27x Combine like terms: -28x + 27x = -1x -100 + -1x = -18 + -27x + 27x Combine like terms: -27x + 27x = 0 -100 + -1x = -18 + 0 -100 + -1x = -18 Add '100' to each side of the equation. -100 + 100 + -1x = -18 + 100 Combine like terms: -100 + 100 = 0 0 + -1x = -18 + 100 -1x = -18 + 100 Combine like terms: -18 + 100 = 82 -1x = 82 Divide each side by '-1'. x = -82 Simplifying x = -82
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