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Simplifying 7 + -5x = 12x + -27 Reorder the terms: 7 + -5x = -27 + 12x Solving 7 + -5x = -27 + 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. 7 + -5x + -12x = -27 + 12x + -12x Combine like terms: -5x + -12x = -17x 7 + -17x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -17x = -27 + 0 7 + -17x = -27 Add '-7' to each side of the equation. 7 + -7 + -17x = -27 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = -27 + -7 -17x = -27 + -7 Combine like terms: -27 + -7 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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