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Simplifying 82 + -1(7x + 10) = 7(x + 6) + x Reorder the terms: 82 + -1(10 + 7x) = 7(x + 6) + x 82 + (10 * -1 + 7x * -1) = 7(x + 6) + x 82 + (-10 + -7x) = 7(x + 6) + x Combine like terms: 82 + -10 = 72 72 + -7x = 7(x + 6) + x Reorder the terms: 72 + -7x = 7(6 + x) + x 72 + -7x = (6 * 7 + x * 7) + x 72 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 72 + -7x = 42 + 8x Solving 72 + -7x = 42 + 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. 72 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 72 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 72 + -15x = 42 + 0 72 + -15x = 42 Add '-72' to each side of the equation. 72 + -72 + -15x = 42 + -72 Combine like terms: 72 + -72 = 0 0 + -15x = 42 + -72 -15x = 42 + -72 Combine like terms: 42 + -72 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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