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Simplifying -2x + -7(6x + -6) = -178 Reorder the terms: -2x + -7(-6 + 6x) = -178 -2x + (-6 * -7 + 6x * -7) = -178 -2x + (42 + -42x) = -178 Reorder the terms: 42 + -2x + -42x = -178 Combine like terms: -2x + -42x = -44x 42 + -44x = -178 Solving 42 + -44x = -178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -44x = -178 + -42 Combine like terms: 42 + -42 = 0 0 + -44x = -178 + -42 -44x = -178 + -42 Combine like terms: -178 + -42 = -220 -44x = -220 Divide each side by '-44'. x = 5 Simplifying x = 5
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