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Simplifying 12x + -7 + 2x + -5 = 11x + -2 + 2x Reorder the terms: -7 + -5 + 12x + 2x = 11x + -2 + 2x Combine like terms: -7 + -5 = -12 -12 + 12x + 2x = 11x + -2 + 2x Combine like terms: 12x + 2x = 14x -12 + 14x = 11x + -2 + 2x Reorder the terms: -12 + 14x = -2 + 11x + 2x Combine like terms: 11x + 2x = 13x -12 + 14x = -2 + 13x Solving -12 + 14x = -2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -12 + 14x + -13x = -2 + 13x + -13x Combine like terms: 14x + -13x = 1x -12 + 1x = -2 + 13x + -13x Combine like terms: 13x + -13x = 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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