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Simplifying 10x + 55 = 15x + 20 Reorder the terms: 55 + 10x = 15x + 20 Reorder the terms: 55 + 10x = 20 + 15x Solving 55 + 10x = 20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 55 + 10x + -15x = 20 + 15x + -15x Combine like terms: 10x + -15x = -5x 55 + -5x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 55 + -5x = 20 + 0 55 + -5x = 20 Add '-55' to each side of the equation. 55 + -55 + -5x = 20 + -55 Combine like terms: 55 + -55 = 0 0 + -5x = 20 + -55 -5x = 20 + -55 Combine like terms: 20 + -55 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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