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Simplifying x + 249 = -6x + -178 Reorder the terms: 249 + x = -6x + -178 Reorder the terms: 249 + x = -178 + -6x Solving 249 + x = -178 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 249 + x + 6x = -178 + -6x + 6x Combine like terms: x + 6x = 7x 249 + 7x = -178 + -6x + 6x Combine like terms: -6x + 6x = 0 249 + 7x = -178 + 0 249 + 7x = -178 Add '-249' to each side of the equation. 249 + -249 + 7x = -178 + -249 Combine like terms: 249 + -249 = 0 0 + 7x = -178 + -249 7x = -178 + -249 Combine like terms: -178 + -249 = -427 7x = -427 Divide each side by '7'. x = -61 Simplifying x = -61
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