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Simplifying 1.5x + 22 = 10x + 5 Reorder the terms: 22 + 1.5x = 10x + 5 Reorder the terms: 22 + 1.5x = 5 + 10x Solving 22 + 1.5x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + 1.5x + -10x = 5 + 10x + -10x Combine like terms: 1.5x + -10x = -8.5x 22 + -8.5x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -8.5x = 5 + 0 22 + -8.5x = 5 Add '-22' to each side of the equation. 22 + -22 + -8.5x = 5 + -22 Combine like terms: 22 + -22 = 0 0 + -8.5x = 5 + -22 -8.5x = 5 + -22 Combine like terms: 5 + -22 = -17 -8.5x = -17 Divide each side by '-8.5'. x = 2 Simplifying x = 2
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