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Simplifying -9(3x + -8) + -8(9 + -7x) = 5 + 4(9x + 11) Reorder the terms: -9(-8 + 3x) + -8(9 + -7x) = 5 + 4(9x + 11) (-8 * -9 + 3x * -9) + -8(9 + -7x) = 5 + 4(9x + 11) (72 + -27x) + -8(9 + -7x) = 5 + 4(9x + 11) 72 + -27x + (9 * -8 + -7x * -8) = 5 + 4(9x + 11) 72 + -27x + (-72 + 56x) = 5 + 4(9x + 11) Reorder the terms: 72 + -72 + -27x + 56x = 5 + 4(9x + 11) Combine like terms: 72 + -72 = 0 0 + -27x + 56x = 5 + 4(9x + 11) -27x + 56x = 5 + 4(9x + 11) Combine like terms: -27x + 56x = 29x 29x = 5 + 4(9x + 11) Reorder the terms: 29x = 5 + 4(11 + 9x) 29x = 5 + (11 * 4 + 9x * 4) 29x = 5 + (44 + 36x) Combine like terms: 5 + 44 = 49 29x = 49 + 36x Solving 29x = 49 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 29x + -36x = 49 + 36x + -36x Combine like terms: 29x + -36x = -7x -7x = 49 + 36x + -36x Combine like terms: 36x + -36x = 0 -7x = 49 + 0 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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