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Simplifying 13x + -6 + 2x + -4 = 12x + -2 + 2x Reorder the terms: -6 + -4 + 13x + 2x = 12x + -2 + 2x Combine like terms: -6 + -4 = -10 -10 + 13x + 2x = 12x + -2 + 2x Combine like terms: 13x + 2x = 15x -10 + 15x = 12x + -2 + 2x Reorder the terms: -10 + 15x = -2 + 12x + 2x Combine like terms: 12x + 2x = 14x -10 + 15x = -2 + 14x Solving -10 + 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. -10 + 15x + -14x = -2 + 14x + -14x Combine like terms: 15x + -14x = 1x -10 + 1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + 1x = -2 + 0 -10 + 1x = -2 Add '10' to each side of the equation. -10 + 10 + 1x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -2 + 10 1x = -2 + 10 Combine like terms: -2 + 10 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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