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Simplifying -11 + -3x + 4 = -5 + -12x + 12 + 2x Reorder the terms: -11 + 4 + -3x = -5 + -12x + 12 + 2x Combine like terms: -11 + 4 = -7 -7 + -3x = -5 + -12x + 12 + 2x Reorder the terms: -7 + -3x = -5 + 12 + -12x + 2x Combine like terms: -5 + 12 = 7 -7 + -3x = 7 + -12x + 2x Combine like terms: -12x + 2x = -10x -7 + -3x = 7 + -10x Solving -7 + -3x = 7 + -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. -7 + -3x + 10x = 7 + -10x + 10x Combine like terms: -3x + 10x = 7x -7 + 7x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 7x = 7 + 0 -7 + 7x = 7 Add '7' to each side of the equation. -7 + 7 + 7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 7 + 7 7x = 7 + 7 Combine like terms: 7 + 7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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