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Simplifying 13x + -5 + 2x + -3 = 12x + -2 + 2x Reorder the terms: -5 + -3 + 13x + 2x = 12x + -2 + 2x Combine like terms: -5 + -3 = -8 -8 + 13x + 2x = 12x + -2 + 2x Combine like terms: 13x + 2x = 15x -8 + 15x = 12x + -2 + 2x Reorder the terms: -8 + 15x = -2 + 12x + 2x Combine like terms: 12x + 2x = 14x -8 + 15x = -2 + 14x Solving -8 + 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. -8 + 15x + -14x = -2 + 14x + -14x Combine like terms: 15x + -14x = 1x -8 + 1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 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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