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Simplifying 12x + -5 + 3x = 11x + -2 + 3x Reorder the terms: -5 + 12x + 3x = 11x + -2 + 3x Combine like terms: 12x + 3x = 15x -5 + 15x = 11x + -2 + 3x Reorder the terms: -5 + 15x = -2 + 11x + 3x Combine like terms: 11x + 3x = 14x -5 + 15x = -2 + 14x Solving -5 + 15x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -5 + 15x + -14x = -2 + 14x + -14x Combine like terms: 15x + -14x = 1x -5 + 1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -5 + 1x = -2 + 0 -5 + 1x = -2 Add '5' to each side of the equation. -5 + 5 + 1x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -2 + 5 1x = -2 + 5 Combine like terms: -2 + 5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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