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Simplifying 3x + 5 + 14x = -13 + 5x Reorder the terms: 5 + 3x + 14x = -13 + 5x Combine like terms: 3x + 14x = 17x 5 + 17x = -13 + 5x Solving 5 + 17x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 17x + -5x = -13 + 5x + -5x Combine like terms: 17x + -5x = 12x 5 + 12x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 12x = -13 + 0 5 + 12x = -13 Add '-5' to each side of the equation. 5 + -5 + 12x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -13 + -5 12x = -13 + -5 Combine like terms: -13 + -5 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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