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Simplifying -7x + 4 = 5x + 12 Reorder the terms: 4 + -7x = 5x + 12 Reorder the terms: 4 + -7x = 12 + 5x Solving 4 + -7x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -7x + -5x = 12 + 5x + -5x Combine like terms: -7x + -5x = -12x 4 + -12x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -12x = 12 + 0 4 + -12x = 12 Add '-4' to each side of the equation. 4 + -4 + -12x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 12 + -4 -12x = 12 + -4 Combine like terms: 12 + -4 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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