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Simplifying 3x + -5 = 8x + -45 Reorder the terms: -5 + 3x = 8x + -45 Reorder the terms: -5 + 3x = -45 + 8x Solving -5 + 3x = -45 + 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. -5 + 3x + -8x = -45 + 8x + -8x Combine like terms: 3x + -8x = -5x -5 + -5x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -5x = -45 + 0 -5 + -5x = -45 Add '5' to each side of the equation. -5 + 5 + -5x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -45 + 5 -5x = -45 + 5 Combine like terms: -45 + 5 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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