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Simplifying -13 + 7x = 2.5x + -5 Reorder the terms: -13 + 7x = -5 + 2.5x Solving -13 + 7x = -5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -13 + 7x + -2.5x = -5 + 2.5x + -2.5x Combine like terms: 7x + -2.5x = 4.5x -13 + 4.5x = -5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -13 + 4.5x = -5 + 0.0 -13 + 4.5x = -5 Add '13' to each side of the equation. -13 + 13 + 4.5x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 4.5x = -5 + 13 4.5x = -5 + 13 Combine like terms: -5 + 13 = 8 4.5x = 8 Divide each side by '4.5'. x = 1.777777778 Simplifying x = 1.777777778
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