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Simplifying 9 + 2(x + -4) = 4 + -9(x + -9) Reorder the terms: 9 + 2(-4 + x) = 4 + -9(x + -9) 9 + (-4 * 2 + x * 2) = 4 + -9(x + -9) 9 + (-8 + 2x) = 4 + -9(x + -9) Combine like terms: 9 + -8 = 1 1 + 2x = 4 + -9(x + -9) Reorder the terms: 1 + 2x = 4 + -9(-9 + x) 1 + 2x = 4 + (-9 * -9 + x * -9) 1 + 2x = 4 + (81 + -9x) Combine like terms: 4 + 81 = 85 1 + 2x = 85 + -9x Solving 1 + 2x = 85 + -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. 1 + 2x + 9x = 85 + -9x + 9x Combine like terms: 2x + 9x = 11x 1 + 11x = 85 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 11x = 85 + 0 1 + 11x = 85 Add '-1' to each side of the equation. 1 + -1 + 11x = 85 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 85 + -1 11x = 85 + -1 Combine like terms: 85 + -1 = 84 11x = 84 Divide each side by '11'. x = 7.636363636 Simplifying x = 7.636363636
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