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Simplifying -45 + -1x = 5x + 45 Reorder the terms: -45 + -1x = 45 + 5x Solving -45 + -1x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + -1x + -5x = 45 + 5x + -5x Combine like terms: -1x + -5x = -6x -45 + -6x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + -6x = 45 + 0 -45 + -6x = 45 Add '45' to each side of the equation. -45 + 45 + -6x = 45 + 45 Combine like terms: -45 + 45 = 0 0 + -6x = 45 + 45 -6x = 45 + 45 Combine like terms: 45 + 45 = 90 -6x = 90 Divide each side by '-6'. x = -15 Simplifying x = -15
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