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Simplifying -5x + 15 + 12x + -20 = 6x + 6x Reorder the terms: 15 + -20 + -5x + 12x = 6x + 6x Combine like terms: 15 + -20 = -5 -5 + -5x + 12x = 6x + 6x Combine like terms: -5x + 12x = 7x -5 + 7x = 6x + 6x Combine like terms: 6x + 6x = 12x -5 + 7x = 12x Solving -5 + 7x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x -5 + -5x = 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -5x = 0 Add '5' to each side of the equation. -5 + 5 + -5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 0 + 5 -5x = 0 + 5 Combine like terms: 0 + 5 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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