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Simplifying -6(-7x) + -1(1 + x) = 178 Remove parenthesis around (-7x) -6 * -7x + -1(1 + x) = 178 Multiply -6 * -7 42x + -1(1 + x) = 178 42x + (1 * -1 + x * -1) = 178 42x + (-1 + -1x) = 178 Reorder the terms: -1 + 42x + -1x = 178 Combine like terms: 42x + -1x = 41x -1 + 41x = 178 Solving -1 + 41x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 41x = 178 + 1 Combine like terms: -1 + 1 = 0 0 + 41x = 178 + 1 41x = 178 + 1 Combine like terms: 178 + 1 = 179 41x = 179 Divide each side by '41'. x = 4.365853659 Simplifying x = 4.365853659
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