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Simplifying 12x + -8 + 2x + -5 = 11x + -2 + 2 Reorder the terms: -8 + -5 + 12x + 2x = 11x + -2 + 2 Combine like terms: -8 + -5 = -13 -13 + 12x + 2x = 11x + -2 + 2 Combine like terms: 12x + 2x = 14x -13 + 14x = 11x + -2 + 2 Reorder the terms: -13 + 14x = -2 + 2 + 11x Combine like terms: -2 + 2 = 0 -13 + 14x = 0 + 11x -13 + 14x = 11x Solving -13 + 14x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -13 + 14x + -11x = 11x + -11x Combine like terms: 14x + -11x = 3x -13 + 3x = 11x + -11x Combine like terms: 11x + -11x = 0 -13 + 3x = 0 Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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