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Simplifying (7x + -2) + -1(17x + 6) = 78 Reorder the terms: (-2 + 7x) + -1(17x + 6) = 78 Remove parenthesis around (-2 + 7x) -2 + 7x + -1(17x + 6) = 78 Reorder the terms: -2 + 7x + -1(6 + 17x) = 78 -2 + 7x + (6 * -1 + 17x * -1) = 78 -2 + 7x + (-6 + -17x) = 78 Reorder the terms: -2 + -6 + 7x + -17x = 78 Combine like terms: -2 + -6 = -8 -8 + 7x + -17x = 78 Combine like terms: 7x + -17x = -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 = 86 -10x = 86 Divide each side by '-10'. x = -8.6 Simplifying x = -8.6
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