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Simplifying 2x + 13 = 5x + -14 Reorder the terms: 13 + 2x = 5x + -14 Reorder the terms: 13 + 2x = -14 + 5x Solving 13 + 2x = -14 + 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. 13 + 2x + -5x = -14 + 5x + -5x Combine like terms: 2x + -5x = -3x 13 + -3x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -3x = -14 + 0 13 + -3x = -14 Add '-13' to each side of the equation. 13 + -13 + -3x = -14 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -14 + -13 -3x = -14 + -13 Combine like terms: -14 + -13 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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