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Simplifying 4x + 3x + -4 = 7x + 12 + -4x Reorder the terms: -4 + 4x + 3x = 7x + 12 + -4x Combine like terms: 4x + 3x = 7x -4 + 7x = 7x + 12 + -4x Reorder the terms: -4 + 7x = 12 + 7x + -4x Combine like terms: 7x + -4x = 3x -4 + 7x = 12 + 3x Solving -4 + 7x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x -4 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 4x = 12 + 0 -4 + 4x = 12 Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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