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Simplifying 13x + -20 = 100 + 10x Reorder the terms: -20 + 13x = 100 + 10x Solving -20 + 13x = 100 + 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. -20 + 13x + -10x = 100 + 10x + -10x Combine like terms: 13x + -10x = 3x -20 + 3x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 3x = 100 + 0 -20 + 3x = 100 Add '20' to each side of the equation. -20 + 20 + 3x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 100 + 20 3x = 100 + 20 Combine like terms: 100 + 20 = 120 3x = 120 Divide each side by '3'. x = 40 Simplifying x = 40
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