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Simplifying -5x + 12 = 7x Reorder the terms: 12 + -5x = 7x Solving 12 + -5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -5x + -7x = 7x + -7x Combine like terms: -5x + -7x = -12x 12 + -12x = 7x + -7x Combine like terms: 7x + -7x = 0 12 + -12x = 0 Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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