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Simplifying -45 + -1x = 4x + 30 Reorder the terms: -45 + -1x = 30 + 4x Solving -45 + -1x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + -1x + -4x = 30 + 4x + -4x Combine like terms: -1x + -4x = -5x -45 + -5x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + -5x = 30 + 0 -45 + -5x = 30 Add '45' to each side of the equation. -45 + 45 + -5x = 30 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 30 + 45 -5x = 30 + 45 Combine like terms: 30 + 45 = 75 -5x = 75 Divide each side by '-5'. x = -15 Simplifying x = -15
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