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Simplifying 5x + 2 = 12x + -9 Reorder the terms: 2 + 5x = 12x + -9 Reorder the terms: 2 + 5x = -9 + 12x Solving 2 + 5x = -9 + 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. 2 + 5x + -12x = -9 + 12x + -12x Combine like terms: 5x + -12x = -7x 2 + -7x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -7x = -9 + 0 2 + -7x = -9 Add '-2' to each side of the equation. 2 + -2 + -7x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -9 + -2 -7x = -9 + -2 Combine like terms: -9 + -2 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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