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Simplifying -1x + 45 = -27 + -7x Reorder the terms: 45 + -1x = -27 + -7x Solving 45 + -1x = -27 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 45 + -1x + 7x = -27 + -7x + 7x Combine like terms: -1x + 7x = 6x 45 + 6x = -27 + -7x + 7x Combine like terms: -7x + 7x = 0 45 + 6x = -27 + 0 45 + 6x = -27 Add '-45' to each side of the equation. 45 + -45 + 6x = -27 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = -27 + -45 6x = -27 + -45 Combine like terms: -27 + -45 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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