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Simplifying 12x + -16 = 7x + -31 Reorder the terms: -16 + 12x = 7x + -31 Reorder the terms: -16 + 12x = -31 + 7x Solving -16 + 12x = -31 + 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. -16 + 12x + -7x = -31 + 7x + -7x Combine like terms: 12x + -7x = 5x -16 + 5x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 5x = -31 + 0 -16 + 5x = -31 Add '16' to each side of the equation. -16 + 16 + 5x = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = -31 + 16 5x = -31 + 16 Combine like terms: -31 + 16 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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