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Simplifying 6 + -7x = 101 + -42x Solving 6 + -7x = 101 + -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. 6 + -7x + 42x = 101 + -42x + 42x Combine like terms: -7x + 42x = 35x 6 + 35x = 101 + -42x + 42x Combine like terms: -42x + 42x = 0 6 + 35x = 101 + 0 6 + 35x = 101 Add '-6' to each side of the equation. 6 + -6 + 35x = 101 + -6 Combine like terms: 6 + -6 = 0 0 + 35x = 101 + -6 35x = 101 + -6 Combine like terms: 101 + -6 = 95 35x = 95 Divide each side by '35'. x = 2.714285714 Simplifying x = 2.714285714
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