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Simplifying 7x + 6 = 114 + -2x Reorder the terms: 6 + 7x = 114 + -2x Solving 6 + 7x = 114 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 7x + 2x = 114 + -2x + 2x Combine like terms: 7x + 2x = 9x 6 + 9x = 114 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 9x = 114 + 0 6 + 9x = 114 Add '-6' to each side of the equation. 6 + -6 + 9x = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 114 + -6 9x = 114 + -6 Combine like terms: 114 + -6 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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