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Simplifying 10(7x + -1) + -12 = 68x + 10 Reorder the terms: 10(-1 + 7x) + -12 = 68x + 10 (-1 * 10 + 7x * 10) + -12 = 68x + 10 (-10 + 70x) + -12 = 68x + 10 Reorder the terms: -10 + -12 + 70x = 68x + 10 Combine like terms: -10 + -12 = -22 -22 + 70x = 68x + 10 Reorder the terms: -22 + 70x = 10 + 68x Solving -22 + 70x = 10 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. -22 + 70x + -68x = 10 + 68x + -68x Combine like terms: 70x + -68x = 2x -22 + 2x = 10 + 68x + -68x Combine like terms: 68x + -68x = 0 -22 + 2x = 10 + 0 -22 + 2x = 10 Add '22' to each side of the equation. -22 + 22 + 2x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 10 + 22 2x = 10 + 22 Combine like terms: 10 + 22 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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