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Simplifying -5x + 101 = 11x + -7 + -4x Reorder the terms: 101 + -5x = 11x + -7 + -4x Reorder the terms: 101 + -5x = -7 + 11x + -4x Combine like terms: 11x + -4x = 7x 101 + -5x = -7 + 7x Solving 101 + -5x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 101 + -5x + -7x = -7 + 7x + -7x Combine like terms: -5x + -7x = -12x 101 + -12x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 101 + -12x = -7 + 0 101 + -12x = -7 Add '-101' to each side of the equation. 101 + -101 + -12x = -7 + -101 Combine like terms: 101 + -101 = 0 0 + -12x = -7 + -101 -12x = -7 + -101 Combine like terms: -7 + -101 = -108 -12x = -108 Divide each side by '-12'. x = 9 Simplifying x = 9
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