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Simplifying 6x + 5x + 4 + 8 = 3x + 4 + 7x Reorder the terms: 4 + 8 + 6x + 5x = 3x + 4 + 7x Combine like terms: 4 + 8 = 12 12 + 6x + 5x = 3x + 4 + 7x Combine like terms: 6x + 5x = 11x 12 + 11x = 3x + 4 + 7x Reorder the terms: 12 + 11x = 4 + 3x + 7x Combine like terms: 3x + 7x = 10x 12 + 11x = 4 + 10x Solving 12 + 11x = 4 + 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. 12 + 11x + -10x = 4 + 10x + -10x Combine like terms: 11x + -10x = 1x 12 + 1x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 1x = 4 + 0 12 + 1x = 4 Add '-12' to each side of the equation. 12 + -12 + 1x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 4 + -12 1x = 4 + -12 Combine like terms: 4 + -12 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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