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Simplifying -3x + -4 + 8 + -7x = 5x + -8 + -12 + 7x + -100 Reorder the terms: -4 + 8 + -3x + -7x = 5x + -8 + -12 + 7x + -100 Combine like terms: -4 + 8 = 4 4 + -3x + -7x = 5x + -8 + -12 + 7x + -100 Combine like terms: -3x + -7x = -10x 4 + -10x = 5x + -8 + -12 + 7x + -100 Reorder the terms: 4 + -10x = -8 + -12 + -100 + 5x + 7x Combine like terms: -8 + -12 = -20 4 + -10x = -20 + -100 + 5x + 7x Combine like terms: -20 + -100 = -120 4 + -10x = -120 + 5x + 7x Combine like terms: 5x + 7x = 12x 4 + -10x = -120 + 12x Solving 4 + -10x = -120 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + -10x + -12x = -120 + 12x + -12x Combine like terms: -10x + -12x = -22x 4 + -22x = -120 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -22x = -120 + 0 4 + -22x = -120 Add '-4' to each side of the equation. 4 + -4 + -22x = -120 + -4 Combine like terms: 4 + -4 = 0 0 + -22x = -120 + -4 -22x = -120 + -4 Combine like terms: -120 + -4 = -124 -22x = -124 Divide each side by '-22'. x = 5.636363636 Simplifying x = 5.636363636
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