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Simplifying -178 = -6(7 + -2x) + 5x -178 = (7 * -6 + -2x * -6) + 5x -178 = (-42 + 12x) + 5x Combine like terms: 12x + 5x = 17x -178 = -42 + 17x Solving -178 = -42 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -178 + -17x = -42 + 17x + -17x Combine like terms: 17x + -17x = 0 -178 + -17x = -42 + 0 -178 + -17x = -42 Add '178' to each side of the equation. -178 + 178 + -17x = -42 + 178 Combine like terms: -178 + 178 = 0 0 + -17x = -42 + 178 -17x = -42 + 178 Combine like terms: -42 + 178 = 136 -17x = 136 Divide each side by '-17'. x = -8 Simplifying x = -8
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