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Simplifying 2.5x + -7 = 0.5x + 13 Reorder the terms: -7 + 2.5x = 0.5x + 13 Reorder the terms: -7 + 2.5x = 13 + 0.5x Solving -7 + 2.5x = 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. -7 + 2.5x + -0.5x = 13 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x -7 + 2x = 13 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -7 + 2x = 13 + 0.0 -7 + 2x = 13 Add '7' to each side of the equation. -7 + 7 + 2x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 13 + 7 2x = 13 + 7 Combine like terms: 13 + 7 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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