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Simplifying 3x + 4x + 13x + 10 = 10x + 20 Reorder the terms: 10 + 3x + 4x + 13x = 10x + 20 Combine like terms: 3x + 4x = 7x 10 + 7x + 13x = 10x + 20 Combine like terms: 7x + 13x = 20x 10 + 20x = 10x + 20 Reorder the terms: 10 + 20x = 20 + 10x Solving 10 + 20x = 20 + 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. 10 + 20x + -10x = 20 + 10x + -10x Combine like terms: 20x + -10x = 10x 10 + 10x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 10x = 20 + 0 10 + 10x = 20 Add '-10' to each side of the equation. 10 + -10 + 10x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 20 + -10 10x = 20 + -10 Combine like terms: 20 + -10 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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