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Simplifying 14x + -13 = 3 + 2x + 8 Reorder the terms: -13 + 14x = 3 + 2x + 8 Reorder the terms: -13 + 14x = 3 + 8 + 2x Combine like terms: 3 + 8 = 11 -13 + 14x = 11 + 2x Solving -13 + 14x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 14x + -2x = 11 + 2x + -2x Combine like terms: 14x + -2x = 12x -13 + 12x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 12x = 11 + 0 -13 + 12x = 11 Add '13' to each side of the equation. -13 + 13 + 12x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 11 + 13 12x = 11 + 13 Combine like terms: 11 + 13 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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