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Simplifying 12 + -7x = 102 + -42x Solving 12 + -7x = 102 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 12 + -7x + 42x = 102 + -42x + 42x Combine like terms: -7x + 42x = 35x 12 + 35x = 102 + -42x + 42x Combine like terms: -42x + 42x = 0 12 + 35x = 102 + 0 12 + 35x = 102 Add '-12' to each side of the equation. 12 + -12 + 35x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 35x = 102 + -12 35x = 102 + -12 Combine like terms: 102 + -12 = 90 35x = 90 Divide each side by '35'. x = 2.571428571 Simplifying x = 2.571428571
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