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Simplifying -45 + 6x = -5x + 87 Reorder the terms: -45 + 6x = 87 + -5x Solving -45 + 6x = 87 + -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 + 6x + 5x = 87 + -5x + 5x Combine like terms: 6x + 5x = 11x -45 + 11x = 87 + -5x + 5x Combine like terms: -5x + 5x = 0 -45 + 11x = 87 + 0 -45 + 11x = 87 Add '45' to each side of the equation. -45 + 45 + 11x = 87 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = 87 + 45 11x = 87 + 45 Combine like terms: 87 + 45 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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