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Simplifying 5x + 14 = -13 + 0.5x Reorder the terms: 14 + 5x = -13 + 0.5x Solving 14 + 5x = -13 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 14 + 5x + -0.5x = -13 + 0.5x + -0.5x Combine like terms: 5x + -0.5x = 4.5x 14 + 4.5x = -13 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 14 + 4.5x = -13 + 0.0 14 + 4.5x = -13 Add '-14' to each side of the equation. 14 + -14 + 4.5x = -13 + -14 Combine like terms: 14 + -14 = 0 0 + 4.5x = -13 + -14 4.5x = -13 + -14 Combine like terms: -13 + -14 = -27 4.5x = -27 Divide each side by '4.5'. x = -6 Simplifying x = -6
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