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Simplifying 4x + -8 = 5x + -20 + 45 Reorder the terms: -8 + 4x = 5x + -20 + 45 Reorder the terms: -8 + 4x = -20 + 45 + 5x Combine like terms: -20 + 45 = 25 -8 + 4x = 25 + 5x Solving -8 + 4x = 25 + 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. -8 + 4x + -5x = 25 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = 25 + 0 -8 + -1x = 25 Add '8' to each side of the equation. -8 + 8 + -1x = 25 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 25 + 8 -1x = 25 + 8 Combine like terms: 25 + 8 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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