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Simplifying 9 + 6(x + -9) = 2 + -7(x + -6) Reorder the terms: 9 + 6(-9 + x) = 2 + -7(x + -6) 9 + (-9 * 6 + x * 6) = 2 + -7(x + -6) 9 + (-54 + 6x) = 2 + -7(x + -6) Combine like terms: 9 + -54 = -45 -45 + 6x = 2 + -7(x + -6) Reorder the terms: -45 + 6x = 2 + -7(-6 + x) -45 + 6x = 2 + (-6 * -7 + x * -7) -45 + 6x = 2 + (42 + -7x) Combine like terms: 2 + 42 = 44 -45 + 6x = 44 + -7x Solving -45 + 6x = 44 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -45 + 6x + 7x = 44 + -7x + 7x Combine like terms: 6x + 7x = 13x -45 + 13x = 44 + -7x + 7x Combine like terms: -7x + 7x = 0 -45 + 13x = 44 + 0 -45 + 13x = 44 Add '45' to each side of the equation. -45 + 45 + 13x = 44 + 45 Combine like terms: -45 + 45 = 0 0 + 13x = 44 + 45 13x = 44 + 45 Combine like terms: 44 + 45 = 89 13x = 89 Divide each side by '13'. x = 6.846153846 Simplifying x = 6.846153846
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