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Simplifying 3x + 7 = 47 + -2x Reorder the terms: 7 + 3x = 47 + -2x Solving 7 + 3x = 47 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 3x + 2x = 47 + -2x + 2x Combine like terms: 3x + 2x = 5x 7 + 5x = 47 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 5x = 47 + 0 7 + 5x = 47 Add '-7' to each side of the equation. 7 + -7 + 5x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 47 + -7 5x = 47 + -7 Combine like terms: 47 + -7 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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