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Simplifying 12x + -5 + 2x + -3 = 11x + -2 + 2x Reorder the terms: -5 + -3 + 12x + 2x = 11x + -2 + 2x Combine like terms: -5 + -3 = -8 -8 + 12x + 2x = 11x + -2 + 2x Combine like terms: 12x + 2x = 14x -8 + 14x = 11x + -2 + 2x Reorder the terms: -8 + 14x = -2 + 11x + 2x Combine like terms: 11x + 2x = 13x -8 + 14x = -2 + 13x Solving -8 + 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. -8 + 14x + -13x = -2 + 13x + -13x Combine like terms: 14x + -13x = 1x -8 + 1x = -2 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + 1x = -2 + 0 -8 + 1x = -2 Add '8' to each side of the equation. -8 + 8 + 1x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -2 + 8 1x = -2 + 8 Combine like terms: -2 + 8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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