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Simplifying 9x + 42x + 49 + -2x + 28 + -12x = 29x + -3x Reorder the terms: 49 + 28 + 9x + 42x + -2x + -12x = 29x + -3x Combine like terms: 49 + 28 = 77 77 + 9x + 42x + -2x + -12x = 29x + -3x Combine like terms: 9x + 42x = 51x 77 + 51x + -2x + -12x = 29x + -3x Combine like terms: 51x + -2x = 49x 77 + 49x + -12x = 29x + -3x Combine like terms: 49x + -12x = 37x 77 + 37x = 29x + -3x Combine like terms: 29x + -3x = 26x 77 + 37x = 26x Solving 77 + 37x = 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 77 + 37x + -26x = 26x + -26x Combine like terms: 37x + -26x = 11x 77 + 11x = 26x + -26x Combine like terms: 26x + -26x = 0 77 + 11x = 0 Add '-77' to each side of the equation. 77 + -77 + 11x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 11x = 0 + -77 11x = 0 + -77 Combine like terms: 0 + -77 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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