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Simplifying 3x + -45 = -7x + 105 Reorder the terms: -45 + 3x = -7x + 105 Reorder the terms: -45 + 3x = 105 + -7x Solving -45 + 3x = 105 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -45 + 3x + 7x = 105 + -7x + 7x Combine like terms: 3x + 7x = 10x -45 + 10x = 105 + -7x + 7x Combine like terms: -7x + 7x = 0 -45 + 10x = 105 + 0 -45 + 10x = 105 Add '45' to each side of the equation. -45 + 45 + 10x = 105 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = 105 + 45 10x = 105 + 45 Combine like terms: 105 + 45 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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