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Simplifying 4x + -3x + 6x + -12 = 5x Reorder the terms: -12 + 4x + -3x + 6x = 5x Combine like terms: 4x + -3x = 1x -12 + 1x + 6x = 5x Combine like terms: 1x + 6x = 7x -12 + 7x = 5x Solving -12 + 7x = 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 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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