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Simplifying 5(5 + -1x) + -7(7 + x) = 0 (5 * 5 + -1x * 5) + -7(7 + x) = 0 (25 + -5x) + -7(7 + x) = 0 25 + -5x + (7 * -7 + x * -7) = 0 25 + -5x + (-49 + -7x) = 0 Reorder the terms: 25 + -49 + -5x + -7x = 0 Combine like terms: 25 + -49 = -24 -24 + -5x + -7x = 0 Combine like terms: -5x + -7x = -12x -24 + -12x = 0 Solving -24 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -12x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12x = 0 + 24 -12x = 0 + 24 Combine like terms: 0 + 24 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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