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Simplifying 8x + -4 = 12x + 6 + x Reorder the terms: -4 + 8x = 12x + 6 + x Reorder the terms: -4 + 8x = 6 + 12x + x Combine like terms: 12x + x = 13x -4 + 8x = 6 + 13x Solving -4 + 8x = 6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + 8x + -13x = 6 + 13x + -13x Combine like terms: 8x + -13x = -5x -4 + -5x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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