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Simplifying 5 + 9(x + -9) = 11 + -7(x + -6) Reorder the terms: 5 + 9(-9 + x) = 11 + -7(x + -6) 5 + (-9 * 9 + x * 9) = 11 + -7(x + -6) 5 + (-81 + 9x) = 11 + -7(x + -6) Combine like terms: 5 + -81 = -76 -76 + 9x = 11 + -7(x + -6) Reorder the terms: -76 + 9x = 11 + -7(-6 + x) -76 + 9x = 11 + (-6 * -7 + x * -7) -76 + 9x = 11 + (42 + -7x) Combine like terms: 11 + 42 = 53 -76 + 9x = 53 + -7x Solving -76 + 9x = 53 + -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. -76 + 9x + 7x = 53 + -7x + 7x Combine like terms: 9x + 7x = 16x -76 + 16x = 53 + -7x + 7x Combine like terms: -7x + 7x = 0 -76 + 16x = 53 + 0 -76 + 16x = 53 Add '76' to each side of the equation. -76 + 76 + 16x = 53 + 76 Combine like terms: -76 + 76 = 0 0 + 16x = 53 + 76 16x = 53 + 76 Combine like terms: 53 + 76 = 129 16x = 129 Divide each side by '16'. x = 8.0625 Simplifying x = 8.0625
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