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Simplifying 7x + -5 + 9 = 4x + 12 Reorder the terms: -5 + 9 + 7x = 4x + 12 Combine like terms: -5 + 9 = 4 4 + 7x = 4x + 12 Reorder the terms: 4 + 7x = 12 + 4x Solving 4 + 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. 4 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x 4 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 3x = 12 + 0 4 + 3x = 12 Add '-4' to each side of the equation. 4 + -4 + 3x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 12 + -4 3x = 12 + -4 Combine like terms: 12 + -4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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