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Simplifying 2.5x + 4 = 4x + 1 Reorder the terms: 4 + 2.5x = 4x + 1 Reorder the terms: 4 + 2.5x = 1 + 4x Solving 4 + 2.5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 2.5x + -4x = 1 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x 4 + -1.5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1.5x = 1 + 0 4 + -1.5x = 1 Add '-4' to each side of the equation. 4 + -4 + -1.5x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5x = 1 + -4 -1.5x = 1 + -4 Combine like terms: 1 + -4 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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