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Simplifying (12x + -10) = 10(x + 1) Reorder the terms: (-10 + 12x) = 10(x + 1) Remove parenthesis around (-10 + 12x) -10 + 12x = 10(x + 1) Reorder the terms: -10 + 12x = 10(1 + x) -10 + 12x = (1 * 10 + x * 10) -10 + 12x = (10 + 10x) Solving -10 + 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. -10 + 12x + -10x = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x -10 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 2x = 10 + 0 -10 + 2x = 10 Add '10' to each side of the equation. -10 + 10 + 2x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 10 + 10 2x = 10 + 10 Combine like terms: 10 + 10 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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