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Simplifying 9(x + -12) + 11(9x + 5) = -53 Reorder the terms: 9(-12 + x) + 11(9x + 5) = -53 (-12 * 9 + x * 9) + 11(9x + 5) = -53 (-108 + 9x) + 11(9x + 5) = -53 Reorder the terms: -108 + 9x + 11(5 + 9x) = -53 -108 + 9x + (5 * 11 + 9x * 11) = -53 -108 + 9x + (55 + 99x) = -53 Reorder the terms: -108 + 55 + 9x + 99x = -53 Combine like terms: -108 + 55 = -53 -53 + 9x + 99x = -53 Combine like terms: 9x + 99x = 108x -53 + 108x = -53 Add '53' to each side of the equation. -53 + 53 + 108x = -53 + 53 Combine like terms: -53 + 53 = 0 0 + 108x = -53 + 53 108x = -53 + 53 Combine like terms: -53 + 53 = 0 108x = 0 Solving 108x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '108'. x = 0 Simplifying x = 0
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