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Simplifying 5x + 6 = 12x + -8 Reorder the terms: 6 + 5x = 12x + -8 Reorder the terms: 6 + 5x = -8 + 12x Solving 6 + 5x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 5x + -12x = -8 + 12x + -12x Combine like terms: 5x + -12x = -7x 6 + -7x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -7x = -8 + 0 6 + -7x = -8 Add '-6' to each side of the equation. 6 + -6 + -7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -8 + -6 -7x = -8 + -6 Combine like terms: -8 + -6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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