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Simplifying 3x + -45 = 5x + -105 Reorder the terms: -45 + 3x = 5x + -105 Reorder the terms: -45 + 3x = -105 + 5x Solving -45 + 3x = -105 + 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 + 3x + -5x = -105 + 5x + -5x Combine like terms: 3x + -5x = -2x -45 + -2x = -105 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + -2x = -105 + 0 -45 + -2x = -105 Add '45' to each side of the equation. -45 + 45 + -2x = -105 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = -105 + 45 -2x = -105 + 45 Combine like terms: -105 + 45 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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