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Simplifying 4x + 12 + -7x = 4x + 6 + -12x Reorder the terms: 12 + 4x + -7x = 4x + 6 + -12x Combine like terms: 4x + -7x = -3x 12 + -3x = 4x + 6 + -12x Reorder the terms: 12 + -3x = 6 + 4x + -12x Combine like terms: 4x + -12x = -8x 12 + -3x = 6 + -8x Solving 12 + -3x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -3x + 8x = 6 + -8x + 8x Combine like terms: -3x + 8x = 5x 12 + 5x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 5x = 6 + 0 12 + 5x = 6 Add '-12' to each side of the equation. 12 + -12 + 5x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 6 + -12 5x = 6 + -12 Combine like terms: 6 + -12 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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