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Simplifying 6 + -7x = 38 + -35x Solving 6 + -7x = 38 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 6 + -7x + 35x = 38 + -35x + 35x Combine like terms: -7x + 35x = 28x 6 + 28x = 38 + -35x + 35x Combine like terms: -35x + 35x = 0 6 + 28x = 38 + 0 6 + 28x = 38 Add '-6' to each side of the equation. 6 + -6 + 28x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 28x = 38 + -6 28x = 38 + -6 Combine like terms: 38 + -6 = 32 28x = 32 Divide each side by '28'. x = 1.142857143 Simplifying x = 1.142857143
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