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Simplifying 85 + -1(6x + 3) = 6(x + 5) + x Reorder the terms: 85 + -1(3 + 6x) = 6(x + 5) + x 85 + (3 * -1 + 6x * -1) = 6(x + 5) + x 85 + (-3 + -6x) = 6(x + 5) + x Combine like terms: 85 + -3 = 82 82 + -6x = 6(x + 5) + x Reorder the terms: 82 + -6x = 6(5 + x) + x 82 + -6x = (5 * 6 + x * 6) + x 82 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 82 + -6x = 30 + 7x Solving 82 + -6x = 30 + 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. 82 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 82 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 82 + -13x = 30 + 0 82 + -13x = 30 Add '-82' to each side of the equation. 82 + -82 + -13x = 30 + -82 Combine like terms: 82 + -82 = 0 0 + -13x = 30 + -82 -13x = 30 + -82 Combine like terms: 30 + -82 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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