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Simplifying (12x + -4) = (10x + 10) Reorder the terms: (-4 + 12x) = (10x + 10) Remove parenthesis around (-4 + 12x) -4 + 12x = (10x + 10) Reorder the terms: -4 + 12x = (10 + 10x) Remove parenthesis around (10 + 10x) -4 + 12x = 10 + 10x Solving -4 + 12x = 10 + 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 = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = 10 + 0 -4 + 2x = 10 Add '4' to each side of the equation. -4 + 4 + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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