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Simplifying 9 + 6(x + -3) = 5 + -9(x + -9) Reorder the terms: 9 + 6(-3 + x) = 5 + -9(x + -9) 9 + (-3 * 6 + x * 6) = 5 + -9(x + -9) 9 + (-18 + 6x) = 5 + -9(x + -9) Combine like terms: 9 + -18 = -9 -9 + 6x = 5 + -9(x + -9) Reorder the terms: -9 + 6x = 5 + -9(-9 + x) -9 + 6x = 5 + (-9 * -9 + x * -9) -9 + 6x = 5 + (81 + -9x) Combine like terms: 5 + 81 = 86 -9 + 6x = 86 + -9x Solving -9 + 6x = 86 + -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. -9 + 6x + 9x = 86 + -9x + 9x Combine like terms: 6x + 9x = 15x -9 + 15x = 86 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + 15x = 86 + 0 -9 + 15x = 86 Add '9' to each side of the equation. -9 + 9 + 15x = 86 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = 86 + 9 15x = 86 + 9 Combine like terms: 86 + 9 = 95 15x = 95 Divide each side by '15'. x = 6.333333333 Simplifying x = 6.333333333
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