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Simplifying 3x + -12 + -4x = 6 + 5x Reorder the terms: -12 + 3x + -4x = 6 + 5x Combine like terms: 3x + -4x = -1x -12 + -1x = 6 + 5x Solving -12 + -1x = 6 + 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. -12 + -1x + -5x = 6 + 5x + -5x Combine like terms: -1x + -5x = -6x -12 + -6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -6x = 6 + 0 -12 + -6x = 6 Add '12' to each side of the equation. -12 + 12 + -6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 6 + 12 -6x = 6 + 12 Combine like terms: 6 + 12 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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