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Simplifying -9(12x + -7) + 16(2x + 10) = 0 Reorder the terms: -9(-7 + 12x) + 16(2x + 10) = 0 (-7 * -9 + 12x * -9) + 16(2x + 10) = 0 (63 + -108x) + 16(2x + 10) = 0 Reorder the terms: 63 + -108x + 16(10 + 2x) = 0 63 + -108x + (10 * 16 + 2x * 16) = 0 63 + -108x + (160 + 32x) = 0 Reorder the terms: 63 + 160 + -108x + 32x = 0 Combine like terms: 63 + 160 = 223 223 + -108x + 32x = 0 Combine like terms: -108x + 32x = -76x 223 + -76x = 0 Solving 223 + -76x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-223' to each side of the equation. 223 + -223 + -76x = 0 + -223 Combine like terms: 223 + -223 = 0 0 + -76x = 0 + -223 -76x = 0 + -223 Combine like terms: 0 + -223 = -223 -76x = -223 Divide each side by '-76'. x = 2.934210526 Simplifying x = 2.934210526
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