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Simplifying 13x + -6 = 10x + 30 Reorder the terms: -6 + 13x = 10x + 30 Reorder the terms: -6 + 13x = 30 + 10x Solving -6 + 13x = 30 + 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. -6 + 13x + -10x = 30 + 10x + -10x Combine like terms: 13x + -10x = 3x -6 + 3x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 3x = 30 + 0 -6 + 3x = 30 Add '6' to each side of the equation. -6 + 6 + 3x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 30 + 6 3x = 30 + 6 Combine like terms: 30 + 6 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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