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Simplifying 5 + -2(x + 5) = 9(x + -5) Reorder the terms: 5 + -2(5 + x) = 9(x + -5) 5 + (5 * -2 + x * -2) = 9(x + -5) 5 + (-10 + -2x) = 9(x + -5) Combine like terms: 5 + -10 = -5 -5 + -2x = 9(x + -5) Reorder the terms: -5 + -2x = 9(-5 + x) -5 + -2x = (-5 * 9 + x * 9) -5 + -2x = (-45 + 9x) Solving -5 + -2x = -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 + -2x + -9x = -45 + 9x + -9x Combine like terms: -2x + -9x = -11x -5 + -11x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -11x = -45 + 0 -5 + -11x = -45 Add '5' to each side of the equation. -5 + 5 + -11x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -45 + 5 -11x = -45 + 5 Combine like terms: -45 + 5 = -40 -11x = -40 Divide each side by '-11'. x = 3.636363636 Simplifying x = 3.636363636
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