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Simplifying -5x + 8 + -4x = 5x + -13 + 14 Reorder the terms: 8 + -5x + -4x = 5x + -13 + 14 Combine like terms: -5x + -4x = -9x 8 + -9x = 5x + -13 + 14 Reorder the terms: 8 + -9x = -13 + 14 + 5x Combine like terms: -13 + 14 = 1 8 + -9x = 1 + 5x Solving 8 + -9x = 1 + 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. 8 + -9x + -5x = 1 + 5x + -5x Combine like terms: -9x + -5x = -14x 8 + -14x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -14x = 1 + 0 8 + -14x = 1 Add '-8' to each side of the equation. 8 + -8 + -14x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 1 + -8 -14x = 1 + -8 Combine like terms: 1 + -8 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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