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Simplifying -12x + -15 = 20 + -5x + 7 Reorder the terms: -15 + -12x = 20 + -5x + 7 Reorder the terms: -15 + -12x = 20 + 7 + -5x Combine like terms: 20 + 7 = 27 -15 + -12x = 27 + -5x Solving -15 + -12x = 27 + -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. -15 + -12x + 5x = 27 + -5x + 5x Combine like terms: -12x + 5x = -7x -15 + -7x = 27 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + -7x = 27 + 0 -15 + -7x = 27 Add '15' to each side of the equation. -15 + 15 + -7x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 27 + 15 -7x = 27 + 15 Combine like terms: 27 + 15 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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