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Simplifying 2x + 6 = 75 + -7x Reorder the terms: 6 + 2x = 75 + -7x Solving 6 + 2x = 75 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 2x + 7x = 75 + -7x + 7x Combine like terms: 2x + 7x = 9x 6 + 9x = 75 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 9x = 75 + 0 6 + 9x = 75 Add '-6' to each side of the equation. 6 + -6 + 9x = 75 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 75 + -6 9x = 75 + -6 Combine like terms: 75 + -6 = 69 9x = 69 Divide each side by '9'. x = 7.666666667 Simplifying x = 7.666666667
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