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Simplifying -1x + -45 = -6x + 30 Reorder the terms: -45 + -1x = -6x + 30 Reorder the terms: -45 + -1x = 30 + -6x Solving -45 + -1x = 30 + -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. -45 + -1x + 6x = 30 + -6x + 6x Combine like terms: -1x + 6x = 5x -45 + 5x = 30 + -6x + 6x Combine like terms: -6x + 6x = 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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