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Simplifying -5x + -35 = 12x + 5 + 3x Reorder the terms: -35 + -5x = 12x + 5 + 3x Reorder the terms: -35 + -5x = 5 + 12x + 3x Combine like terms: 12x + 3x = 15x -35 + -5x = 5 + 15x Solving -35 + -5x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -35 + -5x + -15x = 5 + 15x + -15x Combine like terms: -5x + -15x = -20x -35 + -20x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -35 + -20x = 5 + 0 -35 + -20x = 5 Add '35' to each side of the equation. -35 + 35 + -20x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + -20x = 5 + 35 -20x = 5 + 35 Combine like terms: 5 + 35 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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