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Simplifying 5x + -6 = 12x + -7 Reorder the terms: -6 + 5x = 12x + -7 Reorder the terms: -6 + 5x = -7 + 12x Solving -6 + 5x = -7 + 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 = -7 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = -7 + 0 -6 + -7x = -7 Add '6' to each side of the equation. -6 + 6 + -7x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -7 + 6 -7x = -7 + 6 Combine like terms: -7 + 6 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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