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Simplifying -1x + -12 + 5x = 9 + -10x + 7 Reorder the terms: -12 + -1x + 5x = 9 + -10x + 7 Combine like terms: -1x + 5x = 4x -12 + 4x = 9 + -10x + 7 Reorder the terms: -12 + 4x = 9 + 7 + -10x Combine like terms: 9 + 7 = 16 -12 + 4x = 16 + -10x Solving -12 + 4x = 16 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 4x + 10x = 16 + -10x + 10x Combine like terms: 4x + 10x = 14x -12 + 14x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 14x = 16 + 0 -12 + 14x = 16 Add '12' to each side of the equation. -12 + 12 + 14x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 16 + 12 14x = 16 + 12 Combine like terms: 16 + 12 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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