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Simplifying x + -1(x + -5) = 9(x + 5) Reorder the terms: x + -1(-5 + x) = 9(x + 5) x + (-5 * -1 + x * -1) = 9(x + 5) x + (5 + -1x) = 9(x + 5) Reorder the terms: 5 + x + -1x = 9(x + 5) Combine like terms: x + -1x = 0 5 + 0 = 9(x + 5) 5 = 9(x + 5) Reorder the terms: 5 = 9(5 + x) 5 = (5 * 9 + x * 9) 5 = (45 + 9x) Solving 5 = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + -9x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -9x = 45 + 0 5 + -9x = 45 Add '-5' to each side of the equation. 5 + -5 + -9x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 45 + -5 -9x = 45 + -5 Combine like terms: 45 + -5 = 40 -9x = 40 Divide each side by '-9'. x = -4.444444444 Simplifying x = -4.444444444
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