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Simplifying 6x + 74 = -1x + -45 Reorder the terms: 74 + 6x = -1x + -45 Reorder the terms: 74 + 6x = -45 + -1x Solving 74 + 6x = -45 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 74 + 6x + x = -45 + -1x + x Combine like terms: 6x + x = 7x 74 + 7x = -45 + -1x + x Combine like terms: -1x + x = 0 74 + 7x = -45 + 0 74 + 7x = -45 Add '-74' to each side of the equation. 74 + -74 + 7x = -45 + -74 Combine like terms: 74 + -74 = 0 0 + 7x = -45 + -74 7x = -45 + -74 Combine like terms: -45 + -74 = -119 7x = -119 Divide each side by '7'. x = -17 Simplifying x = -17
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