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Simplifying 2(x + -5) + -5(7 + -1x) = 9 Reorder the terms: 2(-5 + x) + -5(7 + -1x) = 9 (-5 * 2 + x * 2) + -5(7 + -1x) = 9 (-10 + 2x) + -5(7 + -1x) = 9 -10 + 2x + (7 * -5 + -1x * -5) = 9 -10 + 2x + (-35 + 5x) = 9 Reorder the terms: -10 + -35 + 2x + 5x = 9 Combine like terms: -10 + -35 = -45 -45 + 2x + 5x = 9 Combine like terms: 2x + 5x = 7x -45 + 7x = 9 Solving -45 + 7x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 7x = 9 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 9 + 45 7x = 9 + 45 Combine like terms: 9 + 45 = 54 7x = 54 Divide each side by '7'. x = 7.714285714 Simplifying x = 7.714285714
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