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Simplifying 10x + -45 + -5 = 5x + -20 + -20 Reorder the terms: -45 + -5 + 10x = 5x + -20 + -20 Combine like terms: -45 + -5 = -50 -50 + 10x = 5x + -20 + -20 Reorder the terms: -50 + 10x = -20 + -20 + 5x Combine like terms: -20 + -20 = -40 -50 + 10x = -40 + 5x Solving -50 + 10x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -50 + 10x + -5x = -40 + 5x + -5x Combine like terms: 10x + -5x = 5x -50 + 5x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -50 + 5x = -40 + 0 -50 + 5x = -40 Add '50' to each side of the equation. -50 + 50 + 5x = -40 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = -40 + 50 5x = -40 + 50 Combine like terms: -40 + 50 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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