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Simplifying (7x + 12) + (10x + -14) = 21x + -10 Reorder the terms: (12 + 7x) + (10x + -14) = 21x + -10 Remove parenthesis around (12 + 7x) 12 + 7x + (10x + -14) = 21x + -10 Reorder the terms: 12 + 7x + (-14 + 10x) = 21x + -10 Remove parenthesis around (-14 + 10x) 12 + 7x + -14 + 10x = 21x + -10 Reorder the terms: 12 + -14 + 7x + 10x = 21x + -10 Combine like terms: 12 + -14 = -2 -2 + 7x + 10x = 21x + -10 Combine like terms: 7x + 10x = 17x -2 + 17x = 21x + -10 Reorder the terms: -2 + 17x = -10 + 21x Solving -2 + 17x = -10 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -2 + 17x + -21x = -10 + 21x + -21x Combine like terms: 17x + -21x = -4x -2 + -4x = -10 + 21x + -21x Combine like terms: 21x + -21x = 0 -2 + -4x = -10 + 0 -2 + -4x = -10 Add '2' to each side of the equation. -2 + 2 + -4x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -10 + 2 -4x = -10 + 2 Combine like terms: -10 + 2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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