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Simplifying 6 + 2(x + -5) = 7 + -9(x + -2) Reorder the terms: 6 + 2(-5 + x) = 7 + -9(x + -2) 6 + (-5 * 2 + x * 2) = 7 + -9(x + -2) 6 + (-10 + 2x) = 7 + -9(x + -2) Combine like terms: 6 + -10 = -4 -4 + 2x = 7 + -9(x + -2) Reorder the terms: -4 + 2x = 7 + -9(-2 + x) -4 + 2x = 7 + (-2 * -9 + x * -9) -4 + 2x = 7 + (18 + -9x) Combine like terms: 7 + 18 = 25 -4 + 2x = 25 + -9x Solving -4 + 2x = 25 + -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. -4 + 2x + 9x = 25 + -9x + 9x Combine like terms: 2x + 9x = 11x -4 + 11x = 25 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 11x = 25 + 0 -4 + 11x = 25 Add '4' to each side of the equation. -4 + 4 + 11x = 25 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 25 + 4 11x = 25 + 4 Combine like terms: 25 + 4 = 29 11x = 29 Divide each side by '11'. x = 2.636363636 Simplifying x = 2.636363636
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