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Simplifying 2.5x + -5 = 4x + 1 Reorder the terms: -5 + 2.5x = 4x + 1 Reorder the terms: -5 + 2.5x = 1 + 4x Solving -5 + 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. -5 + 2.5x + -4x = 1 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x -5 + -1.5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1.5x = 1 + 0 -5 + -1.5x = 1 Add '5' to each side of the equation. -5 + 5 + -1.5x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1.5x = 1 + 5 -1.5x = 1 + 5 Combine like terms: 1 + 5 = 6 -1.5x = 6 Divide each side by '-1.5'. x = -4 Simplifying x = -4
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