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Simplifying 3x + -45 = 8x Reorder the terms: -45 + 3x = 8x Solving -45 + 3x = 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 + 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x -45 + -5x = 8x + -8x Combine like terms: 8x + -8x = 0 -45 + -5x = 0 Add '45' to each side of the equation. -45 + 45 + -5x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 0 + 45 -5x = 0 + 45 Combine like terms: 0 + 45 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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