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Simplifying -3 + 2x = 7x + 47 Reorder the terms: -3 + 2x = 47 + 7x Solving -3 + 2x = 47 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 2x + -7x = 47 + 7x + -7x Combine like terms: 2x + -7x = -5x -3 + -5x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -5x = 47 + 0 -3 + -5x = 47 Add '3' to each side of the equation. -3 + 3 + -5x = 47 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 47 + 3 -5x = 47 + 3 Combine like terms: 47 + 3 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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