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Simplifying -178 = 7x + 5(-7x + -2) Reorder the terms: -178 = 7x + 5(-2 + -7x) -178 = 7x + (-2 * 5 + -7x * 5) -178 = 7x + (-10 + -35x) Reorder the terms: -178 = -10 + 7x + -35x Combine like terms: 7x + -35x = -28x -178 = -10 + -28x Solving -178 = -10 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -178 + 28x = -10 + -28x + 28x Combine like terms: -28x + 28x = 0 -178 + 28x = -10 + 0 -178 + 28x = -10 Add '178' to each side of the equation. -178 + 178 + 28x = -10 + 178 Combine like terms: -178 + 178 = 0 0 + 28x = -10 + 178 28x = -10 + 178 Combine like terms: -10 + 178 = 168 28x = 168 Divide each side by '28'. x = 6 Simplifying x = 6
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