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Simplifying 6x + 7 = 21 + -6x Reorder the terms: 7 + 6x = 21 + -6x Solving 7 + 6x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 6x + 6x = 21 + -6x + 6x Combine like terms: 6x + 6x = 12x 7 + 12x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 12x = 21 + 0 7 + 12x = 21 Add '-7' to each side of the equation. 7 + -7 + 12x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 21 + -7 12x = 21 + -7 Combine like terms: 21 + -7 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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