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Simplifying 9(x + -7) + 12(x + 11) = 108x + 69 Reorder the terms: 9(-7 + x) + 12(x + 11) = 108x + 69 (-7 * 9 + x * 9) + 12(x + 11) = 108x + 69 (-63 + 9x) + 12(x + 11) = 108x + 69 Reorder the terms: -63 + 9x + 12(11 + x) = 108x + 69 -63 + 9x + (11 * 12 + x * 12) = 108x + 69 -63 + 9x + (132 + 12x) = 108x + 69 Reorder the terms: -63 + 132 + 9x + 12x = 108x + 69 Combine like terms: -63 + 132 = 69 69 + 9x + 12x = 108x + 69 Combine like terms: 9x + 12x = 21x 69 + 21x = 108x + 69 Reorder the terms: 69 + 21x = 69 + 108x Add '-69' to each side of the equation. 69 + -69 + 21x = 69 + -69 + 108x Combine like terms: 69 + -69 = 0 0 + 21x = 69 + -69 + 108x 21x = 69 + -69 + 108x Combine like terms: 69 + -69 = 0 21x = 0 + 108x 21x = 108x Solving 21x = 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. 21x + -108x = 108x + -108x Combine like terms: 21x + -108x = -87x -87x = 108x + -108x Combine like terms: 108x + -108x = 0 -87x = 0 Divide each side by '-87'. x = 0 Simplifying x = 0
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