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Simplifying 12x + 3x + -105 = 3x + 2x + -35 Reorder the terms: -105 + 12x + 3x = 3x + 2x + -35 Combine like terms: 12x + 3x = 15x -105 + 15x = 3x + 2x + -35 Reorder the terms: -105 + 15x = -35 + 3x + 2x Combine like terms: 3x + 2x = 5x -105 + 15x = -35 + 5x Solving -105 + 15x = -35 + 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. -105 + 15x + -5x = -35 + 5x + -5x Combine like terms: 15x + -5x = 10x -105 + 10x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -105 + 10x = -35 + 0 -105 + 10x = -35 Add '105' to each side of the equation. -105 + 105 + 10x = -35 + 105 Combine like terms: -105 + 105 = 0 0 + 10x = -35 + 105 10x = -35 + 105 Combine like terms: -35 + 105 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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