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Simplifying 88 + -1(6x + 6) = 6(x + 5) + 5 Reorder the terms: 88 + -1(6 + 6x) = 6(x + 5) + 5 88 + (6 * -1 + 6x * -1) = 6(x + 5) + 5 88 + (-6 + -6x) = 6(x + 5) + 5 Combine like terms: 88 + -6 = 82 82 + -6x = 6(x + 5) + 5 Reorder the terms: 82 + -6x = 6(5 + x) + 5 82 + -6x = (5 * 6 + x * 6) + 5 82 + -6x = (30 + 6x) + 5 Reorder the terms: 82 + -6x = 30 + 5 + 6x Combine like terms: 30 + 5 = 35 82 + -6x = 35 + 6x Solving 82 + -6x = 35 + 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. 82 + -6x + -6x = 35 + 6x + -6x Combine like terms: -6x + -6x = -12x 82 + -12x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 82 + -12x = 35 + 0 82 + -12x = 35 Add '-82' to each side of the equation. 82 + -82 + -12x = 35 + -82 Combine like terms: 82 + -82 = 0 0 + -12x = 35 + -82 -12x = 35 + -82 Combine like terms: 35 + -82 = -47 -12x = -47 Divide each side by '-12'. x = 3.916666667 Simplifying x = 3.916666667
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