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Simplifying 2x + 7 = -5x + 12 Reorder the terms: 7 + 2x = -5x + 12 Reorder the terms: 7 + 2x = 12 + -5x Solving 7 + 2x = 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. 7 + 2x + 5x = 12 + -5x + 5x Combine like terms: 2x + 5x = 7x 7 + 7x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 7x = 12 + 0 7 + 7x = 12 Add '-7' to each side of the equation. 7 + -7 + 7x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 12 + -7 7x = 12 + -7 Combine like terms: 12 + -7 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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