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Simplifying 7x + -5 = 4x + 12 Reorder the terms: -5 + 7x = 4x + 12 Reorder the terms: -5 + 7x = 12 + 4x Solving -5 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -5 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3x = 12 + 0 -5 + 3x = 12 Add '5' to each side of the equation. -5 + 5 + 3x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 12 + 5 3x = 12 + 5 Combine like terms: 12 + 5 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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