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Simplifying 4x + 1 = 2.5x + 10 Reorder the terms: 1 + 4x = 2.5x + 10 Reorder the terms: 1 + 4x = 10 + 2.5x Solving 1 + 4x = 10 + 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. 1 + 4x + -2.5x = 10 + 2.5x + -2.5x Combine like terms: 4x + -2.5x = 1.5x 1 + 1.5x = 10 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 1 + 1.5x = 10 + 0.0 1 + 1.5x = 10 Add '-1' to each side of the equation. 1 + -1 + 1.5x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = 10 + -1 1.5x = 10 + -1 Combine like terms: 10 + -1 = 9 1.5x = 9 Divide each side by '1.5'. x = 6 Simplifying x = 6
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