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Simplifying 11x + -7 + 2x + -5 = 10x + -2 + 2x Reorder the terms: -7 + -5 + 11x + 2x = 10x + -2 + 2x Combine like terms: -7 + -5 = -12 -12 + 11x + 2x = 10x + -2 + 2x Combine like terms: 11x + 2x = 13x -12 + 13x = 10x + -2 + 2x Reorder the terms: -12 + 13x = -2 + 10x + 2x Combine like terms: 10x + 2x = 12x -12 + 13x = -2 + 12x Solving -12 + 13x = -2 + 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. -12 + 13x + -12x = -2 + 12x + -12x Combine like terms: 13x + -12x = 1x -12 + 1x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 1x = -2 + 0 -12 + 1x = -2 Add '12' to each side of the equation. -12 + 12 + 1x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -2 + 12 1x = -2 + 12 Combine like terms: -2 + 12 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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