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Simplifying x + 7 = 12 + -4x Reorder the terms: 7 + x = 12 + -4x Solving 7 + x = 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. 7 + x + 4x = 12 + -4x + 4x Combine like terms: x + 4x = 5x 7 + 5x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 5x = 12 + 0 7 + 5x = 12 Add '-7' to each side of the equation. 7 + -7 + 5x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 12 + -7 5x = 12 + -7 Combine like terms: 12 + -7 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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