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Simplifying 6x + 6 = 8 + -1(6x + -3) Reorder the terms: 6 + 6x = 8 + -1(6x + -3) Reorder the terms: 6 + 6x = 8 + -1(-3 + 6x) 6 + 6x = 8 + (-3 * -1 + 6x * -1) 6 + 6x = 8 + (3 + -6x) Combine like terms: 8 + 3 = 11 6 + 6x = 11 + -6x Solving 6 + 6x = 11 + -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. 6 + 6x + 6x = 11 + -6x + 6x Combine like terms: 6x + 6x = 12x 6 + 12x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 12x = 11 + 0 6 + 12x = 11 Add '-6' to each side of the equation. 6 + -6 + 12x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 11 + -6 12x = 11 + -6 Combine like terms: 11 + -6 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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