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Simplifying 5x + 2x + 10 + 3x = 2x + x + 20 + 2x Reorder the terms: 10 + 5x + 2x + 3x = 2x + x + 20 + 2x Combine like terms: 5x + 2x = 7x 10 + 7x + 3x = 2x + x + 20 + 2x Combine like terms: 7x + 3x = 10x 10 + 10x = 2x + x + 20 + 2x Reorder the terms: 10 + 10x = 20 + 2x + x + 2x Combine like terms: 2x + x = 3x 10 + 10x = 20 + 3x + 2x Combine like terms: 3x + 2x = 5x 10 + 10x = 20 + 5x Solving 10 + 10x = 20 + 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. 10 + 10x + -5x = 20 + 5x + -5x Combine like terms: 10x + -5x = 5x 10 + 5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 5x = 20 + 0 10 + 5x = 20 Add '-10' to each side of the equation. 10 + -10 + 5x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 20 + -10 5x = 20 + -10 Combine like terms: 20 + -10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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