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Simplifying (17x + 6) + -1(7x + -2) = 78 Reorder the terms: (6 + 17x) + -1(7x + -2) = 78 Remove parenthesis around (6 + 17x) 6 + 17x + -1(7x + -2) = 78 Reorder the terms: 6 + 17x + -1(-2 + 7x) = 78 6 + 17x + (-2 * -1 + 7x * -1) = 78 6 + 17x + (2 + -7x) = 78 Reorder the terms: 6 + 2 + 17x + -7x = 78 Combine like terms: 6 + 2 = 8 8 + 17x + -7x = 78 Combine like terms: 17x + -7x = 10x 8 + 10x = 78 Solving 8 + 10x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10x = 78 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 78 + -8 10x = 78 + -8 Combine like terms: 78 + -8 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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