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Simplifying 12x + -4 = 10x + -10 + 30 Reorder the terms: -4 + 12x = 10x + -10 + 30 Reorder the terms: -4 + 12x = -10 + 30 + 10x Combine like terms: -10 + 30 = 20 -4 + 12x = 20 + 10x Solving -4 + 12x = 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. -4 + 12x + -10x = 20 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = 20 + 0 -4 + 2x = 20 Add '4' to each side of the equation. -4 + 4 + 2x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 20 + 4 2x = 20 + 4 Combine like terms: 20 + 4 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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