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Simplifying 66 + -1(7x + 6) = 7(x + 2) + x Reorder the terms: 66 + -1(6 + 7x) = 7(x + 2) + x 66 + (6 * -1 + 7x * -1) = 7(x + 2) + x 66 + (-6 + -7x) = 7(x + 2) + x Combine like terms: 66 + -6 = 60 60 + -7x = 7(x + 2) + x Reorder the terms: 60 + -7x = 7(2 + x) + x 60 + -7x = (2 * 7 + x * 7) + x 60 + -7x = (14 + 7x) + x Combine like terms: 7x + x = 8x 60 + -7x = 14 + 8x Solving 60 + -7x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 60 + -7x + -8x = 14 + 8x + -8x Combine like terms: -7x + -8x = -15x 60 + -15x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 60 + -15x = 14 + 0 60 + -15x = 14 Add '-60' to each side of the equation. 60 + -60 + -15x = 14 + -60 Combine like terms: 60 + -60 = 0 0 + -15x = 14 + -60 -15x = 14 + -60 Combine like terms: 14 + -60 = -46 -15x = -46 Divide each side by '-15'. x = 3.066666667 Simplifying x = 3.066666667
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