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Simplifying 7 + 3x + -12 = 11x + -6x + 12 Reorder the terms: 7 + -12 + 3x = 11x + -6x + 12 Combine like terms: 7 + -12 = -5 -5 + 3x = 11x + -6x + 12 Reorder the terms: -5 + 3x = 12 + 11x + -6x Combine like terms: 11x + -6x = 5x -5 + 3x = 12 + 5x Solving -5 + 3x = 12 + 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. -5 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = 12 + 0 -5 + -2x = 12 Add '5' to each side of the equation. -5 + 5 + -2x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 12 + 5 -2x = 12 + 5 Combine like terms: 12 + 5 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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