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Simplifying 7(x + -3) + 5(x + 4) = -25 Reorder the terms: 7(-3 + x) + 5(x + 4) = -25 (-3 * 7 + x * 7) + 5(x + 4) = -25 (-21 + 7x) + 5(x + 4) = -25 Reorder the terms: -21 + 7x + 5(4 + x) = -25 -21 + 7x + (4 * 5 + x * 5) = -25 -21 + 7x + (20 + 5x) = -25 Reorder the terms: -21 + 20 + 7x + 5x = -25 Combine like terms: -21 + 20 = -1 -1 + 7x + 5x = -25 Combine like terms: 7x + 5x = 12x -1 + 12x = -25 Solving -1 + 12x = -25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12x = -25 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = -25 + 1 12x = -25 + 1 Combine like terms: -25 + 1 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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