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Simplifying 9x + -45 = 8x + 30 Reorder the terms: -45 + 9x = 8x + 30 Reorder the terms: -45 + 9x = 30 + 8x Solving -45 + 9x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + 9x + -8x = 30 + 8x + -8x Combine like terms: 9x + -8x = 1x -45 + 1x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 1x = 30 + 0 -45 + 1x = 30 Add '45' to each side of the equation. -45 + 45 + 1x = 30 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 30 + 45 1x = 30 + 45 Combine like terms: 30 + 45 = 75 1x = 75 Divide each side by '1'. x = 75 Simplifying x = 75
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