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Simplifying 9(-1x + -5) + 5(x + 7) = 0 Reorder the terms: 9(-5 + -1x) + 5(x + 7) = 0 (-5 * 9 + -1x * 9) + 5(x + 7) = 0 (-45 + -9x) + 5(x + 7) = 0 Reorder the terms: -45 + -9x + 5(7 + x) = 0 -45 + -9x + (7 * 5 + x * 5) = 0 -45 + -9x + (35 + 5x) = 0 Reorder the terms: -45 + 35 + -9x + 5x = 0 Combine like terms: -45 + 35 = -10 -10 + -9x + 5x = 0 Combine like terms: -9x + 5x = -4x -10 + -4x = 0 Solving -10 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 0 + 10 -4x = 0 + 10 Combine like terms: 0 + 10 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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