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Simplifying 2.5x + 22 = 4x + 10 Reorder the terms: 22 + 2.5x = 4x + 10 Reorder the terms: 22 + 2.5x = 10 + 4x Solving 22 + 2.5x = 10 + 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. 22 + 2.5x + -4x = 10 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x 22 + -1.5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + -1.5x = 10 + 0 22 + -1.5x = 10 Add '-22' to each side of the equation. 22 + -22 + -1.5x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -1.5x = 10 + -22 -1.5x = 10 + -22 Combine like terms: 10 + -22 = -12 -1.5x = -12 Divide each side by '-1.5'. x = 8 Simplifying x = 8
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