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Simplifying 10 + -5x + 1 = 7x + 11 + -12 Reorder the terms: 10 + 1 + -5x = 7x + 11 + -12 Combine like terms: 10 + 1 = 11 11 + -5x = 7x + 11 + -12 Reorder the terms: 11 + -5x = 11 + -12 + 7x Combine like terms: 11 + -12 = -1 11 + -5x = -1 + 7x Solving 11 + -5x = -1 + 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. 11 + -5x + -7x = -1 + 7x + -7x Combine like terms: -5x + -7x = -12x 11 + -12x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -12x = -1 + 0 11 + -12x = -1 Add '-11' to each side of the equation. 11 + -11 + -12x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -12x = -1 + -11 -12x = -1 + -11 Combine like terms: -1 + -11 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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