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Simplifying 6.5x + 2 = 2.5x + 42 Reorder the terms: 2 + 6.5x = 2.5x + 42 Reorder the terms: 2 + 6.5x = 42 + 2.5x Solving 2 + 6.5x = 42 + 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. 2 + 6.5x + -2.5x = 42 + 2.5x + -2.5x Combine like terms: 6.5x + -2.5x = 4x 2 + 4x = 42 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 2 + 4x = 42 + 0.0 2 + 4x = 42 Add '-2' to each side of the equation. 2 + -2 + 4x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 42 + -2 4x = 42 + -2 Combine like terms: 42 + -2 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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