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Simplifying 178 = -5x + -6(2x + -7) Reorder the terms: 178 = -5x + -6(-7 + 2x) 178 = -5x + (-7 * -6 + 2x * -6) 178 = -5x + (42 + -12x) Reorder the terms: 178 = 42 + -5x + -12x Combine like terms: -5x + -12x = -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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