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Simplifying 13x + -8 + 2x + -3 = 12x + -3 + 2x Reorder the terms: -8 + -3 + 13x + 2x = 12x + -3 + 2x Combine like terms: -8 + -3 = -11 -11 + 13x + 2x = 12x + -3 + 2x Combine like terms: 13x + 2x = 15x -11 + 15x = 12x + -3 + 2x Reorder the terms: -11 + 15x = -3 + 12x + 2x Combine like terms: 12x + 2x = 14x -11 + 15x = -3 + 14x Solving -11 + 15x = -3 + 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. -11 + 15x + -14x = -3 + 14x + -14x Combine like terms: 15x + -14x = 1x -11 + 1x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 -11 + 1x = -3 + 0 -11 + 1x = -3 Add '11' to each side of the equation. -11 + 11 + 1x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -3 + 11 1x = -3 + 11 Combine like terms: -3 + 11 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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