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Simplifying -2x + 7 = 3x + 12 Reorder the terms: 7 + -2x = 3x + 12 Reorder the terms: 7 + -2x = 12 + 3x Solving 7 + -2x = 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. 7 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x 7 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 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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